Problem: It's tough to be a superhero. And it's twice as tough to resist the supervillain who is cool at math. Suppose that you're an ordinary Batman in an ordinary city of Gotham. Your enemy Joker mined the building of the city administration and you only have several minutes to neutralize the charge. To do that you should enter the cancel code on the bomb control panel.

However, that mad man decided to give you a hint. This morning the mayor found a playing card under his pillow. There was a line written on the card:

<image>

The bomb has a note saying "J(x) = A", where A is some positive integer. You suspect that the cancel code is some integer x that meets the equation J(x) = A. Now in order to decide whether you should neutralize the bomb or run for your life, you've got to count how many distinct positive integers x meet this equation.

Input

The single line of the input contains a single integer A (1 ≤ A ≤ 1012).

Output

Print the number of solutions of the equation J(x) = A.

Examples

Input

3


Output

1


Input

24


Output

3

Note

Record x|n means that number n divides number x.

<image> is defined as the largest positive integer that divides both a and b.

In the first sample test the only suitable value of x is 2. Then J(2) = 1 + 2.

In the second sample test the following values of x match:

  * x = 14, J(14) = 1 + 2 + 7 + 14 = 24
  * x = 15, J(15) = 1 + 3 + 5 + 15 = 24
  * x = 23, J(23) = 1 + 23 = 24

Solution (in JAVA):

Solution:
//import java.awt.Dimension;
import java.awt.Point;
import java.io.*;
import static java.lang.Math.*;
import java.math.BigDecimal;
import java.math.BigInteger;
import static java.math.BigInteger.*;
import java.util.*;
import static java.util.Arrays.*;
//import java.math.BigInteger;
//import static java.lang.Character.*;
//import static java.lang.Math.*;
//import static java.math.BigInteger.*;

//import static java.util.Arrays.*;

//import java.awt.Point; // interger !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
//import java.awt.Polygon;
//import java.awt.Rectangle;
//import java.awt.geom.AffineTransform;
//import java.awt.geom.Line2D;
//import java.awt.geom.Point2D;
//import javafx.scene.shape.Line;
//import javafx.scene.transform.Rotate;

//<editor-fold defaultstate="collapsed" desc="Main">
public class Main implements Runnable{

    // https://netbeans.org/kb/73/java/editor-codereference_ru.html#display

    static boolean oj;
    
    @Override
    public void run(){
        try {
            Locale.setDefault(Locale.US);
        } catch (Exception e) {
        }
        oj = true;
        try {
            oj = System.getProperty("MYLOCAL") == null;
        } catch (Exception e) {
        }
//
        if (oj) {
            sc = new FastScanner(new InputStreamReader(System.in));
            out = new PrintWriter(new OutputStreamWriter(System.out));
        } else {
            try {
                sc = new FastScanner(new FileReader("input.txt"));
                out = new PrintWriter(new FileWriter("output.txt"));
            } catch (IOException e) {
                MLE();
            }
        }
        Solver s = new Solver();
        s.sc = sc;
        s.out = out;

        s.solve();
        if (!oj) {
            err.println("Time: " + (System.currentTimeMillis() - timeBegin) / 1e3);
            err.printf("Mem: %d\n", (Runtime.getRuntime().totalMemory() - Runtime.getRuntime().freeMemory()) >> 20);
        }
        out.flush();
    }

    private void show(int[] arr) {
        for (int v : arr) {
            err.print(" " + v);
        }
        err.println();
    }

    public static void exit() {
        err.println("Time: " + (System.currentTimeMillis() - timeBegin) / 1e3);
        err.printf("Mem: %d\n", (Runtime.getRuntime().totalMemory() - Runtime.getRuntime().freeMemory()) >> 20);
        out.flush();
        out.close();
        System.exit(0);
    }

    public static void MLE() {
        int[][] arr = new int[1024 * 1024][];
        for (int i = 0; i < arr.length; i++) {
            arr[i] = new int[1024 * 1024];
        }
    }

    public static void main(String[] args) throws FileNotFoundException {
        //new Main().run();
        new Thread(null, new Main(), "myThread", 100 * 1024 * 1024).start();
    }

    static long timeBegin = System.currentTimeMillis();
    static FastScanner sc;
    static PrintWriter out;
    static PrintStream err = System.err;
}
    //</editor-fold>

//<editor-fold defaultstate="collapsed" desc="FastScanner">
class FastScanner {

    BufferedReader br;
    StringTokenizer st;

    FastScanner(InputStreamReader reader) {
        br = new BufferedReader(reader);
        st = new StringTokenizer("");
    }

    String next() {
        while (!st.hasMoreElements()) {
            try {
                st = new StringTokenizer(br.readLine());
            } catch (Exception ex) {
                return null;
            }
        }
        return st.nextToken();
    }

    int nextInt() {
        return Integer.parseInt(next());
    }

    long nextLong() {
        return Long.parseLong(next());
    }

    double nextDouble() {
        return Double.parseDouble(next());
    }

    String nextLine() {
        try {
            return br.readLine();
        } catch (IOException ex) {
            return null;
        }
    }
}
//</editor-fold>

class Solver {

    void aser(boolean OK) {
        if (!OK) {
            Main.MLE();
        }
    }

    FastScanner sc;
    PrintWriter out;
    static PrintStream err = System.err;
    
    long[] getAllDiv(long A){
        TreeSet<Long> arr = new TreeSet<>();
        for( long d = 1; d*d <= A; ++d ){
            if( A % d == 0 ) {
                arr.add(d);
                arr.add(A/d);
            }
        }
        int pos = 0;
        long[] a = new long[arr.size()];
        for (long x : arr) a[pos++] = x;
        return a;
    }
    
    long myPow(long p, int alfa){
        long ans = 1;
        for (int i = 0; i < alfa; i++) {
            ans *= p;
        }
        return ans;
    }
    
    void solve(){
        final long A = sc.nextLong();
        long[] divA = getAllDiv(A);
        TreeMap<Long,TreeSet<Integer>> P = new TreeMap<>();
        for (long div : divA) {
            --div;
            for (int alfa = 1; alfa <= 60; alfa++) {
                long p = (long)( pow( div, 1.0 / alfa ) + 0.5 );
                if( 2<=p && myPow(p,alfa)==div && 
                        valueOf(p).isProbablePrime(Integer.MAX_VALUE) ){
                    if( !P.containsKey(p) )
                        P.put(p, new TreeSet<>());
                    P.get(p).add(alfa);
                        
                }
            }
        }
        
        long[] dp0, dp;
        dp0 = new long[divA.length];
        dp0[0] = 1;
        for( long p : P.keySet() ){
            dp = dp0.clone();
            for( int alfa : P.get(p) ){
                long val = myPow(p, alfa) + 1;
                for( int ID = 0; ID < divA.length; ++ID){
                    long div = divA[ID];
                    if( 1e12 + 5 <= 1.0 * div * val ) break;
                    long toDiv = div * val;
                    int toID = binarySearch(divA, toDiv);
                    if( 0 <= toID ) dp[toID] += dp0[ID];
                }
            }
            //
            dp0 = dp;
        }
        out.println(dp0[divA.length - 1]);
    }
    
    
}