A square-full number has a prime factorization in which all exponents are 2 or greater. For example, 72 = 2^3*3^2 is square-full, but 45 = 3^2*5 is not. The number 1 is considered square-full. Therefore, 12 has two square-full divisors (1 and 4), while 48 has 4 (1, 4, 8, and 16).
Write a function that returns the number of square-full divisors of the input number.
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