Abception

Number Theory Level pending

We have a number \(N\) with 2016 digits and \(N\) is divisible with 9.
Sum of \(N\)'s digits is \(a\).
Sum of \(a\)'s digits is \(b\), and
sum of \(b\)'s digits is \(c\).

What is \(c\) equal to?

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