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256104971808 = 25371441926431
BaseRepresentation
bin1110111010000100001…
…0111011111000100000
3220111001101200120001020
43232201002323320200
513144000333044213
6313353014205440
724334343225250
oct3564102737040
9814041616036
10256104971808
11996826419a4
1241775053880
131b1c5b1c44a
14c577547960
1569ddc89923
hex3ba10bbe20

256104971808 has 96 divisors (see below), whose sum is σ = 768397271040. Its totient is φ = 73165006080.

The previous prime is 256104971803. The next prime is 256104971867. The reversal of 256104971808 is 808179401652.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (256104971803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9676353 + ... + 9702783.

It is an arithmetic number, because the mean of its divisors is an integer number (8004138240).

Almost surely, 2256104971808 is an apocalyptic number.

256104971808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

256104971808 is an abundant number, since it is smaller than the sum of its proper divisors (512292299232).

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

256104971808 is a wasteful number, since it uses less digits than its factorization.

256104971808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40870 (or 40862 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 256104971808 in words is "two hundred fifty-six billion, one hundred four million, nine hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 14419 26431 28838 43257 52862 57676 79293 86514 100933 105724 115352 158586 173028 185017 201866 211448 230704 302799 317172 346056 370034 403732 422896 461408 555051 605598 634344 692112 740068 807464 845792 1110102 1211196 1268688 1384224 1480136 1614928 2220204 2422392 2537376 2960272 3229856 4440408 4844784 5920544 8880816 9689568 17761632 381108589 762217178 1143325767 1524434356 2286651534 2667760123 3048868712 4573303068 5335520246 6097737424 8003280369 9146606136 10671040492 12195474848 16006560738 18293212272 21342080984 32013121476 36586424544 42684161968 64026242952 85368323936 128052485904 256104971808