Problem #WSP-5641

Problems Number Theory

Problem

Recall that when we write \(n!\) for some natural number \(n\), we mean \(1\times 2\times 3\times \cdots \times n\). You are given that \(20!=243290a0081766bc000,\) for some digits \(a,b,c\). Find those digits. You may want to recall the divisibility rule for \(9\): a number is divisible by \(9\) if and only if the sum of its digits is divisible by \(9\).