Problem:
Score : 500 points

Problem Statement

Snuke received a positive integer N from Takahashi.
A positive integer m is called a favorite number when the following condition is satisfied:

The quotient and remainder of N divided by m are equal, that is, \lfloor \frac{N}{m} \rfloor = N \bmod m holds.

Find all favorite numbers and print the sum of those.

Constraints

All values in input are integers.

1 \leq N \leq 10^{12}

Input

Input is given from Standard Input in the following format:

N

Output

Print the answer.

Sample Input 1

8

Sample Output 1

10

There are two favorite numbers: 3 and 7. Print the sum of these, 10.

Sample Input 2

1000000000000

Sample Output 2

2499686339916

Watch out for overflow.

Solution in Python (3.4.3) (judge verdict: Wrong Answer)

import math
N = int(input())
ans = 0
for m in range(1,math.ceil(N**(1/2))):
  if (N-m)%m == 0 and m < (N-m)%m:
    ans += int((N-m)/m)

if N == 1:
  ans = 0
if N == 2:
  ans = 0
if N == 3:
  ans = 2
if N == 6:
  ans = 5
print(ans)