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The Number of Non-Zero Digits of n!
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $b$ be an integer with $b\,>\,1$. In this note, we prove that the number of non-zero digits in the base $b$ representation of $n!$ grows at least as fast as a constant, depending on $b$, times $\log \,n$.
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- Copyright © Canadian Mathematical Society 2002
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