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11257460864 = 27136765301
BaseRepresentation
bin10100111101111111…
…10011100010000000
31002001112220021010222
422132333303202000
5141023402221424
65101022242212
7545653560416
oct123677634200
932045807128
1011257460864
1148575a7a71
122222126368
1310a537cc60
1478b16d2b6
1545d498e5e
hex29eff3880

11257460864 has 32 divisors (see below), whose sum is σ = 24152128140. Its totient is φ = 5195750400.

The previous prime is 11257460861. The next prime is 11257460873. The reversal of 11257460864 is 46806475211.

It can be written as a sum of positive squares in 2 ways, for example, as 10840974400 + 416486464 = 104120^2 + 20408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (11257460861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3380987 + ... + 3384314.

Almost surely, 211257460864 is an apocalyptic number.

It is an amenable number.

11257460864 is an abundant number, since it is smaller than the sum of its proper divisors (12894667276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11257460864 is an equidigital number, since it uses as much as digits as its factorization.

11257460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6765328 (or 6765316 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 11257460864 in words is "eleven billion, two hundred fifty-seven million, four hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 6765301 13530602 27061204 54122408 87948913 108244816 175897826 216489632 351795652 432979264 703591304 865958528 1407182608 2814365216 5628730432 11257460864