50. How many divisors does the integer

$$
N=a^{\alpha} \cdot b^{\beta} \cdot c^{\gamma} \ldots l^{\lambda}
$$

have, where $a, b, c, \ldots l$ are prime numbers and $\alpha, \beta, \gamma, \ldots \lambda$ are any integers?
50. Generalizing the method used in the answer to the previous question, we get for the total number of divisors the expression:

$$
(\alpha+1)(\beta+1)(\gamma+1) \cdots(\lambda+1)
$$