Find the smallest number N such that:

The number of divisors of N is A.

The number of divisors of A is B.

The number of divisors of B is C.

The number of divisors of C is 3.

**Details and assumptions**

The divisors include $1$ and the number itself. For example, the number of divisors of $10$ is $4$.

You may read Divisors of an Integer to learn how to count the number of divisors of a given integer.

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