Number of Divisors

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 11 and the number itself. For example, the number of divisors of 1010 is 44.

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

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