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56853588480 = 293513569447
BaseRepresentation
bin110100111100101111…
…001110101000000000
312102202020001112120020
4310330233032220000
51412414004312410
642041305413440
74051612346163
oct647457165000
9172666045506
1056853588480
1122125406567
12b02819a280
135490932220
142a74a57ada
15172b3dca70
hexd3cbcea00

56853588480 has 160 divisors (see below), whose sum is σ = 195735222144. Its totient is φ = 13994704896.

The previous prime is 56853588479. The next prime is 56853588487. The reversal of 56853588480 is 8488535865.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (56853588487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184884 + ... + 384563.

Almost surely, 256853588480 is an apocalyptic number.

It is an amenable number.

56853588480 is an abundant number, since it is smaller than the sum of its proper divisors (138881633664).

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

56853588480 is a wasteful number, since it uses less digits than its factorization.

56853588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569486 (or 569470 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 60.

The spelling of 56853588480 in words is "fifty-six billion, eight hundred fifty-three million, five hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12480 16640 19968 24960 33280 49920 99840 569447 1138894 1708341 2277788 2847235 3416682 4555576 5694470 6833364 7402811 8541705 9111152 11388940 13666728 14805622 17083410 18222304 22208433 22777880 27333456 29611244 34166820 36444608 37014055 44416866 45555760 54666912 59222488 68333640 72889216 74028110 88833732 91111520 109333824 111042165 118444976 136667280 145778432 148056220 177667464 182223040 218667648 222084330 236889952 273334560 291556864 296112440 355334928 364446080 437335296 444168660 473779904 546669120 592224880 710669856 728892160 874670592 888337320 947559808 1093338240 1184449760 1421339712 1457784320 1776674640 1895119616 2186676480 2368899520 2842679424 3553349280 3790239232 4373352960 4737799040 5685358848 7106698560 9475598080 11370717696 14213397120 18951196160 28426794240 56853588480