213536830501

This number is a prime.

                                                               21 3536830501

The smallest prime p such that p, p+1, p+2, p+3, p+4, p+5 and p+6 have exactly 2, 4, 8, 16, 32, 64 and 128 divisors respectively. There exists no prime p such that p, p+1, p+2, p+3, p+4, p+5, p+6 and p+7 have 2, 4, 8, 16, 32, 64, 128, 256 divisors respectively. [Gudipati]