How many positive integer divisors of $2004^{2004}$ are divisible by exactly 2004 positive integers?
Question:
How many positive integer divisors of $2004^{2004}$ are divisible by exactly 2004 positive integers?
Answer:
Let's think step by step.

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How many positive integer divisors of $2004^{2004}$ are divisible by exactly 2004 positive integers?
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