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26431137017 is a prime number
BaseRepresentation
bin11000100111011010…
…110010010011111001
32112020000211212201122
4120213122302103321
5413112332341032
620050422555025
71623662646335
oct304732622371
975200755648
1026431137017
111023376249a
125157898a75
132652b9765c
1413ca4827c5
15a4a668012
hex6276b24f9

26431137017 has 2 divisors, whose sum is σ = 26431137018. Its totient is φ = 26431137016.

The previous prime is 26431137001. The next prime is 26431137037. The reversal of 26431137017 is 71073113462.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18665297641 + 7765839376 = 136621^2 + 88124^2 .

It is a cyclic number.

It is not a de Polignac number, because 26431137017 - 24 = 26431137001 is a prime.

It is a super-2 number, since 2×264311370172 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (26431137037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13215568508 + 13215568509.

It is an arithmetic number, because the mean of its divisors is an integer number (13215568509).

Almost surely, 226431137017 is an apocalyptic number.

It is an amenable number.

26431137017 is a deficient number, since it is larger than the sum of its proper divisors (1).

26431137017 is an equidigital number, since it uses as much as digits as its factorization.

26431137017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 26431137017 in words is "twenty-six billion, four hundred thirty-one million, one hundred thirty-seven thousand, seventeen".