Problems
Equation
Equation
The positive integer $n$ is given. How many solutions in positive integers has the equation
$$
{1 \over n} = {1 \over x} + {1 \over y}
$$
\InputFile
One integer $n~(1 \le n \le 10^9)$.
\OutputFile
The number of solutions in positive integers for the given equation.
Input example #1
2
Output example #1
3