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56235600630 = 232511210334999
BaseRepresentation
bin110100010111111001…
…110010101011110110
312101011011012111121100
4310113321302223312
51410132303210010
641500112030530
74030366501266
oct642771625366
9171134174540
1056235600630
1121938592100
12aa95232446
1353c28a9041
142a1694b7a6
1516e201a2c0
hexd17e72af6

56235600630 has 144 divisors (see below), whose sum is σ = 160900740000. Its totient is φ = 13616951040.

The previous prime is 56235600611. The next prime is 56235600649. The reversal of 56235600630 is 3600653265.

56235600630 is a `hidden beast` number, since 5 + 62 + 3 + 560 + 0 + 6 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (56235600611) and next prime (56235600649).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11246871 + ... + 11251869.

It is an arithmetic number, because the mean of its divisors is an integer number (1117366250).

Almost surely, 256235600630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56235600630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80450370000).

56235600630 is an abundant number, since it is smaller than the sum of its proper divisors (104665139370).

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

56235600630 is a wasteful number, since it uses less digits than its factorization.

56235600630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 56235600630 in words is "fifty-six billion, two hundred thirty-five million, six hundred thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1033 1089 1210 1815 2066 2178 3099 3630 4999 5165 5445 6198 9297 9998 10330 10890 11363 14997 15495 18594 22726 24995 29994 30990 34089 44991 46485 49990 54989 56815 68178 74985 89982 92970 102267 109978 113630 124993 149970 164967 170445 204534 224955 249986 274945 329934 340890 374979 449910 494901 511335 549890 604879 624965 749958 824835 989802 1022670 1124937 1209758 1249930 1649670 1814637 1874895 2249874 2474505 3024395 3629274 3749790 4949010 5163967 5443911 5624685 6048790 9073185 10327934 10887822 11249370 15491901 18146370 25819835 27219555 30983802 46475703 51639670 54439110 56803637 77459505 92951406 113607274 154919010 170410911 232378515 284018185 340821822 464757030 511232733 568036370 624840007 852054555 1022465466 1249680014 1704109110 1874520021 2556163665 3124200035 3749040042 5112327330 5623560063 6248400070 9372600105 11247120126 18745200210 28117800315 56235600630