Back with a bang

Our hero Batman likes to play with coins. He has $$n$$ number of coins all of which are white on one side and black on the other. He puts all the coins on a straight line with white side up. Now he starts to flip the coins. First he flips every coins placed at position of multiple of $$1$$, then at multiple of $$2$$ and so on till the multiple of $$n$$. He wants you to guess the last position of the coin whose black side is up if $$n$$ is given to be 1000000007.

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