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56686479668 = 2272131710091297
BaseRepresentation
bin110100110010110001…
…110000100100110100
312102022120121112100222
4310302301300210310
51412043214322133
642012535553512
74044513061400
oct646261604464
9172276545328
1056686479668
112204a049205
12aba022b898
135465122b80
142a5a798100
15171b8cde98
hexd32c70934

56686479668 has 144 divisors (see below), whose sum is σ = 131816417040. Its totient is φ = 21069103104.

The previous prime is 56686479653. The next prime is 56686479679. The reversal of 56686479668 is 86697468665.

It can be written as a sum of positive squares in 8 ways, for example, as 2657196304 + 54029283364 = 51548^2 + 232442^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43705196 + ... + 43706492.

It is an arithmetic number, because the mean of its divisors is an integer number (915391785).

Almost surely, 256686479668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56686479668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65908208520).

56686479668 is an abundant number, since it is smaller than the sum of its proper divisors (75129937372).

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

56686479668 is a wasteful number, since it uses less digits than its factorization.

56686479668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2345 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 71.

The spelling of 56686479668 in words is "fifty-six billion, six hundred eighty-six million, four hundred seventy-nine thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 364 442 476 637 833 884 1009 1274 1297 1547 1666 2018 2548 2594 3094 3332 4036 5188 6188 7063 9079 10829 13117 14126 16861 17153 18158 21658 22049 26234 28252 33722 34306 36316 43316 44098 49441 52468 63553 67444 68612 88196 91819 98882 118027 120071 127106 154343 183638 197764 222989 236054 240142 254212 286637 308686 367276 445978 472108 480284 573274 617372 642733 826189 840497 891956 1080401 1146548 1285466 1308673 1560923 1652378 1680994 2006459 2160802 2570932 2617346 3121846 3304756 3361988 4012918 4321604 5234692 6243692 8025836 9160711 10926461 14045213 17012749 18321422 21852922 22247441 28090426 34025498 36642844 43705844 44494882 56180852 64124977 68050996 88989764 119089243 128249954 155732087 238178486 256499908 289216733 311464174 476356972 578433466 622928348 833624701 1090124609 1156866932 1667249402 2024517131 2180249218 3334498804 4049034262 4360498436 8098068524 14171619917 28343239834 56686479668