# Sum of digits

Number Theory Level 3

Let $$P=2016^{2016}$$.
Let $$Q$$ be the sum of the digits of $$P$$.
Let $$R$$ be the sum of the digits of $$Q$$.
Let $$S$$ be the sum of the digits of $$R$$.

What is $$S$$?

Hint: divisibility rules.

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