#include <bits/stdc++.h>
//#include <boost/multiprecision/cpp_dec_float.hpp>
//#include <boost/multiprecision/cpp_int.hpp>
#pragma GCC target("avx")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
//浮動小数点処理用
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
using namespace std;
using i64 = int64_t;
using f80 = __float80;
using u64 = uint_fast64_t;
//using Bint = boost::multiprecision::cpp_int;
//using Real = boost::multiprecision::number<boost::multiprecision::cpp_dec_float<1024>>;
static const int dy[4] = {0,1,0,-1}, dx[4] = {1,0,-1,0};
constexpr i64 INF = 1'010'000'000'000'000'017LL;
constexpr u64 MOD = 1'000'000'007LL;
constexpr f80 PI = 3.14159265358979323846;
#define _overload3(_1,_2,_3,name,...) name
#define repi(i,start,end) for(int i=(start);i<(end);++i)
#define _rep(i,n) repi(i,0,n)
#define rep(...) _overload3(__VA_ARGS__,repi,_rep,)(__VA_ARGS__)
#define rrep(i,start,end) for(int i=(start);i>end;--i)
#define rng(a) a.begin(),a.end()
#define rrng(a) a.rbegin(),a.rend()
#define isin(x,l,r) ((l) <= (x) && (x) < (r))
#define show(x) cout<<#x<<" = "<<x<<endl;
#define PQ(T) priority_queue<T,v(T),greater<T> >
#define v(T) vector<T>
#define vv(T) v(v(T))
#define vvv(T) v(v(v(T)))
typedef v(int) vi;
typedef pair<int,int> P;
template<class T> inline bool chmax(T& a,T b){if(a<b){a=b;return true;}return false;}
template<class T> inline bool chmin(T& a,T b){if(a>b){a=b;return true;}return false;}
template<typename T> ostream &operator<<(ostream &os, const vector< T > &v){
  rep(i,v.size()) os << v[i] << (i + 1 != v.size() ? " " : "");
  return os;
}
template<typename T> istream &operator>>(istream &is, vector< T > &v){
  for(T &in : v) is >> in;
  return is;
}

class modint {
public:
  u64 a;
  constexpr modint(const u64 x = 0) noexcept : a(x % MOD) {}
  constexpr u64 &value() noexcept { return a; }
  constexpr const u64 &value() const noexcept { return a; }
  constexpr modint operator+(const modint rhs) const noexcept {
    return modint(*this) += rhs;
  }
  constexpr modint operator-(const modint rhs) const noexcept {
    return modint(*this) -= rhs;
  }
  constexpr modint operator*(const modint rhs) const noexcept {
    return modint(*this) *= rhs;
  }
  constexpr modint operator/(const modint rhs) const noexcept {
    return modint(*this) /= rhs;
  }
  constexpr modint &operator+=(const modint rhs) noexcept {
    a += rhs.a;
    if (a >= MOD) a -= MOD;
    return *this;
  }
  constexpr modint &operator-=(const modint rhs) noexcept {
    if (a < rhs.a) a += MOD;
    a -= rhs.a;
    return *this;
  }
  constexpr modint &operator*=(const modint rhs) noexcept {
    a = a * rhs.a % MOD;
    return *this;
  }
  constexpr modint &operator/=(modint rhs) noexcept {
    for(u64 exp = MOD - 2; exp; exp>>=1){
      if (exp % 2) *this *= rhs;
      rhs *= rhs;
    }
    return *this;
  }
  friend ostream& operator<<(ostream& os, const modint& m) {
    os << m.a;
    return os;
  }
};


i64 pow_mod(i64 n, i64 k, i64 m){
  i64 r = 1;
  for(;k;k>>=1){
    if(k&1) r=(r*n)%m;
    n=(n*n)%m;
  }
  return r;
}

struct uf{
  private:
    vi par, rank, size;
  public:
    uf(i64 n){ init(n); }
    void init(i64 n){
      par.resize(n);
      rank.resize(n,0);
      size.resize(n,1);
      rep(i,n) par[i] = i;
    }
    i64 root(i64 x){
      if(par[x] == x) return x;
      return par[x] = root(par[x]);
    }
    bool same(i64 x, i64 y){ return root(x) == root(y); }
    void unite(i64 x, i64 y){
      x = root(x), y = root(y);
      if(x==y) return;
      if(rank[x]==rank[y]) rank[x]++;
      if(rank[x]<rank[y]) swap(x,y);
      par[y] = x;
      size[x] += size[y];
    }
    i64 num(i64 x){ return size[root(x)]; }
};

//sort(rng(P),[](const vi &a, const vi &b){return a[1]<b[1];});

void Main()
{
  i64 N;
  cin >> N;

  map<i64,i64> prime;
  for(i64 i=2;i*i<=N;i++) {
    if(N%i==0){
      while(N%i==0){
        N /= i;
        prime[i]++;
      }
    }
  }
  if(N>1) prime[N]++;
  
  i64 ans = 0;
  for(auto &p: prime) {
    i64 k = 1;
    while((k+1) * (k+2) / 2 <= p.second) k++;
    ans += k;
  }
  cout << ans << "\n";
}

int main()
{
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  cout << fixed << setprecision(15);
  Main();
}

Measured memory_bytes: 3664