A problem by Pankaj Joshi

Level pending

If 30 ! 30! = 2 x 1 3 x 2 5 x 3 7 x 4 1 1 x 5 1 3 x 6 1 7 x 7 1 9 x 8 2 3 x 9 2 9 x 10 2^{x_1} * 3^{x_2} * 5^{x_3} * 7^{x_4} * 11^{x_5} * 13^{x_6} * 17^{x_7} * 19^{x_8} * 23^{x_9} * 29^{x_{10}} , then i = 1 10 x i \sum_{i=1}^{10} x_i is equal to

63 59 64 60

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