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26497653961 = 312592892
BaseRepresentation
bin11000101011011000…
…100001110011001001
32112101200000021211011
4120223120201303021
5413231344411321
620101200403521
71625431225312
oct305330416311
975350007734
1026497653961
1110268264679
1251760165a1
1326638b69ac
1413d5239609
15a51406ae1
hex62b621cc9

26497653961 has 27 divisors (see below), whose sum is σ = 28168382343. Its totient is φ = 24925026720.

The previous prime is 26497653943. The next prime is 26497653971. The reversal of 26497653961 is 16935679462.

The square root of 26497653961 is 162781.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5088111561 + 21409542400 = 71331^2 + 146320^2 .

It is not a de Polignac number, because 26497653961 - 223 = 26489265353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 26497653896 and 26497653905.

It is not an unprimeable number, because it can be changed into a prime (26497653901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 297726405 + ... + 297726493.

Almost surely, 226497653961 is an apocalyptic number.

26497653961 is the 162781-st square number.

26497653961 is the 81391-st centered octagonal number.

It is an amenable number.

26497653961 is a deficient number, since it is larger than the sum of its proper divisors (1670728382).

26497653961 is an frugal number, since it uses more digits than its factorization.

26497653961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 58.

The spelling of 26497653961 in words is "twenty-six billion, four hundred ninety-seven million, six hundred fifty-three thousand, nine hundred sixty-one".

Divisors: 1 31 59 89 961 1829 2759 3481 5251 7921 56699 85529 107911 162781 245551 309809 467339 3345241 5046211 7612081 9604079 14487509 27573001 297726449 449112779 854763031 26497653961