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171264817169 is a prime number
BaseRepresentation
bin1001111110000000101…
…1011011100000010001
3121101001201222011002122
42133200023123200101
510301222243122134
6210402235224025
715242046632525
oct2374013334021
9541051864078
10171264817169
11666a6585016
12292382a8015
13131c4cc4004
148409a39d85
1546c58db02e
hex27e02db811

171264817169 has 2 divisors, whose sum is σ = 171264817170. Its totient is φ = 171264817168.

The previous prime is 171264817123. The next prime is 171264817181. The reversal of 171264817169 is 961718462171.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171143553025 + 121264144 = 413695^2 + 11012^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-171264817169 is a prime.

It is a super-2 number, since 2×1712648171692 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 171264817169.

It is not a weakly prime, because it can be changed into another prime (171264817189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 85632408584 + 85632408585.

It is an arithmetic number, because the mean of its divisors is an integer number (85632408585).

Almost surely, 2171264817169 is an apocalyptic number.

It is an amenable number.

171264817169 is a deficient number, since it is larger than the sum of its proper divisors (1).

171264817169 is an equidigital number, since it uses as much as digits as its factorization.

171264817169 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1016064, while the sum is 53.

The spelling of 171264817169 in words is "one hundred seventy-one billion, two hundred sixty-four million, eight hundred seventeen thousand, one hundred sixty-nine".