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3380952960 = 27*34*5*73*112
So there are 4 squares or higher even powers of 2 which can go into it = 20, 22, 24 and 26.
Similiarly, there are 3 for number 3 (1, 9 and 81),
2 for number 7 (1 and 49) and 2 for number 11 (1 and 121).
Thus including 1 (which is a square), there are 4*3*2*2 = 48 squares that go into 3380952960.
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