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256137372832 = 2511266151181
BaseRepresentation
bin1110111010001011111…
…0100010010010100000
3220111010122122200220011
43232202332202102200
513144032131412312
6313400132454304
724335215514005
oct3564276422240
9814118580804
10256137372832
1199699962300
1241783a7a394
131b1cc755253
14c57b97d8ac
1569e1a39da7
hex3ba2fa24a0

256137372832 has 36 divisors (see below), whose sum is σ = 554280753978. Its totient is φ = 116426076800.

The previous prime is 256137372823. The next prime is 256137372833. The reversal of 256137372832 is 238273731652.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 248478322576 + 7659050256 = 498476^2 + 87516^2 .

It is a super-2 number, since 2×2561373728322 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (256137372833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33071719 + ... + 33079462.

Almost surely, 2256137372832 is an apocalyptic number.

256137372832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256137372832 is an abundant number, since it is smaller than the sum of its proper divisors (298143381146).

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

256137372832 is a wasteful number, since it uses less digits than its factorization.

256137372832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66151213 (or 66151194 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 49.

The spelling of 256137372832 in words is "two hundred fifty-six billion, one hundred thirty-seven million, three hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 66151181 132302362 264604724 529209448 727662991 1058418896 1455325982 2116837792 2910651964 5821303928 8004292901 11642607856 16008585802 23285215712 32017171604 64034343208 128068686416 256137372832