LCM

题意翻译

给定一个正整数$b$ $(1\leq b \leq 10^{10})$。 把一个正整数$a$从$1$枚举到$10^{18}$,求有多少种不同的$\large \frac{[a,b]}{a}$。($[a,b]$代表$a$与$b$的最小公倍数)

题目描述

Ivan has number $ b $ . He is sorting through the numbers $ a $ from $ 1 $ to $ 10^{18} $ , and for every $ a $ writes $ \frac{[a, \,\, b]}{a} $ on blackboard. Here $ [a, \,\, b] $ stands for least common multiple of $ a $ and $ b $ . Ivan is very lazy, that's why this task bored him soon. But he is interested in how many different numbers he would write on the board if he would finish the task. Help him to find the quantity of different numbers he would write on the board.

输入输出格式

输入格式


The only line contains one integer — $ b $ $ (1 \le b \le 10^{10}) $ .

输出格式


Print one number — answer for the problem.

输入输出样例

输入样例 #1

1

输出样例 #1

1

输入样例 #2

2

输出样例 #2

2

说明

In the first example $ [a, \,\, 1] = a $ , therefore $ \frac{[a, \,\, b]}{a} $ is always equal to $ 1 $ . In the second example $ [a, \,\, 2] $ can be equal to $ a $ or $ 2 \cdot a $ depending on parity of $ a $ . $ \frac{[a, \,\, b]}{a} $ can be equal to $ 1 $ and $ 2 $ .