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Let f (x) be a polynomial of degree 6 wi...

Let `f (x)` be a polynomial of degree 6 with leading coefficient 2009, Suppose further, that `f (1),=1, f (2)=3=5, f (4)=7, f (5)=9,f (2)=2,` then the sum of all the digits of `f (6)` is

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