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264170017 is a prime number
BaseRepresentation
bin11111011111011…
…10101000100001
3200102002020010201
433233232220201
51020111420032
642114025201
76355256656
oct1757565041
9612066121
10264170017
11126131931
1274578201
1342964327
1427127c2d
15182d28e7
hexfbeea21

264170017 has 2 divisors, whose sum is σ = 264170018. Its totient is φ = 264170016.

The previous prime is 264169957. The next prime is 264170063. The reversal of 264170017 is 710071462.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225120016 + 39050001 = 15004^2 + 6249^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-264170017 is a prime.

It is not a weakly prime, because it can be changed into another prime (264170117) 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, 132085008 + 132085009.

It is an arithmetic number, because the mean of its divisors is an integer number (132085009).

Almost surely, 2264170017 is an apocalyptic number.

It is an amenable number.

264170017 is a deficient number, since it is larger than the sum of its proper divisors (1).

264170017 is an equidigital number, since it uses as much as digits as its factorization.

264170017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 264170017 is about 16253.3078787058. The cubic root of 264170017 is about 641.6445473982.

The spelling of 264170017 in words is "two hundred sixty-four million, one hundred seventy thousand, seventeen".