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Let 0 lt a lt b lt c lt d lt e lt f lt g...

Let `0 lt a lt b lt c lt d lt e lt f lt g ` be a geometric sequence of integers. Let* (k) denote the number of divisors of `k`. for example, *(6)=4 because, `1,2,3,6` are divisors of `6`. if *(a)=7, *(g)=13 and `d-c=432`. then find the value of b.

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972
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