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APMOPS 2009 Question 24

APMOPS · APMOPS 2009

Question 24

Given $N=\underbrace{2\times2\times\cdots\times2}_{2009\ \mathrm{factors}}\times\underbrace{5\times5\times\cdots\times5}_{2000\ \mathrm{factors}}$, find the number of digits in $N$.