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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 show english descriptions Radix representation; digital problems {For metric results, see 11K16} 11A63 - Radix representation; digital problems {For metric results, see 11K16}
 

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