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 Ruby (2.3.3) (judge verdict: Wrong Answer)

require 'bigdecimal'
n = $stdin.gets.to_i

def yakusuu(s)
  result = []

  (1..(Math.sqrt(s).to_i+1)).each do |i|
    if s % i == 0
      result << i
    end
  end
  result
end
sum = 0
yakusuu(n).each do |i|
  a = n / i
  sum += a - 1
end
puts sum