Despojados

Every positive integer can be written as a product of prime powers. For example, $252 = 2^2 \times 3^2 \times 7$.

An integer is despojado if it can be written as a product of two or more distinct primes with no prime used twice. For example, $6 = 2 \times 3$ and $14 = 2 \times 7$ are despojado. On the other hand $28 = 2^2 \times 7$ is not, because the prime $2$ is used twice, and neither $1$ nor $17$ is despojado.

You are given an integer $N$. Count the divisors of $N$ that are despojado.

The first line contains an integer $N$ ($1 \le N \le 10^{12}$).

Print the number of despojado divisors of $N$ on a single line.