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# The Number of Non-Zero Digits of $n!$

Published:2002-03-01
Printed: Mar 2002
• Florian Luca
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## 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 $\log n$.
 MSC Classifications: 11A63 - Radix representation; digital problems {For metric results, see 11K16}