Problem Statement

How many arithmetic progressions consisting of integers with a common difference of $1$ have a sum of $N$?

Constraints

• $1 ≤ N ≤ 10^{12}$
• $N$ is an integer.

Input

Input is given from Standard Input in the following format:

$N$

Output

Print the answer.

Sample Input 1

12

Sample Output 1

4

We have four such progressions:

• \[12\]
• \[3, 4, 5\]
• \[-2, -1, 0, 1, 2, 3, 4, 5\]
• \[-11, -10, -9, \\dots, 10, 11, 12\]

Sample Input 2

1

Sample Output 2

2

We have two such progressions:

• \[1\]
• \[0, 1\]

Sample Input 3

963761198400

Sample Output 3

1920