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171407066401 is a prime number
BaseRepresentation
bin1001111110100010101…
…0000100010100100001
3121101102122122011100201
42133220222010110201
510302020202111101
6210424320145201
715245425011364
oct2375052042441
9541378564321
10171407066401
1166769902a6a
1229277a68201
131321860b05c
1484208a80db
1546d3138e01
hex27e8a84521

171407066401 has 2 divisors, whose sum is σ = 171407066402. Its totient is φ = 171407066400.

The previous prime is 171407066399. The next prime is 171407066513. The reversal of 171407066401 is 104660704171.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170384026176 + 1023040225 = 412776^2 + 31985^2 .

It is a cyclic number.

It is not a de Polignac number, because 171407066401 - 21 = 171407066399 is a prime.

Together with 171407066399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (171407064401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 85703533200 + 85703533201.

It is an arithmetic number, because the mean of its divisors is an integer number (85703533201).

Almost surely, 2171407066401 is an apocalyptic number.

It is an amenable number.

171407066401 is a deficient number, since it is larger than the sum of its proper divisors (1).

171407066401 is an equidigital number, since it uses as much as digits as its factorization.

171407066401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 171407066401 in words is "one hundred seventy-one billion, four hundred seven million, sixty-six thousand, four hundred one".