Totient sum

Let S(n,m) = ∑φ(n × i) for 1 ≤ i ≤ m. (φ is Euler's totient function) You are given that S(510510,10⁶ )= 45480596821125120.

Find S(510510,10¹¹). Give the last 9 digits of your answer.

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