2019 AMC 10A Problems/Problem 11

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How many positive integer divisors of $201^9$ are perfect squares or perfect cubes (or both)?

$\{\textbf{(A) }32}$ (Error compiling LaTeX. Unknown error_msg) $\{\textbf{(B) }36}$ (Error compiling LaTeX. Unknown error_msg) $\{\textbf{(C) }37}$ (Error compiling LaTeX. Unknown error_msg) $\{\textbf{(D) }39}$ (Error compiling LaTeX. Unknown error_msg) $\{\textbf{(E) }41}$ (Error compiling LaTeX. Unknown error_msg)