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56616026507344 = 24175989283140069
BaseRepresentation
bin11001101111101111100100…
…01001100000100001010000
321102110102212020020210120101
430313313302021200201100
524410044110241213334
6320225013222222144
714632241626021453
oct1467676211404120
9242412766223511
1056616026507344
11170487a3a94227
126424694884954
132578b39b177c5
14dda331d4d49a
15682aa5945214
hex337df2260850

56616026507344 has 160 divisors (see below), whose sum is σ = 119864734416000. Its totient is φ = 25805285670912.

The previous prime is 56616026507323. The next prime is 56616026507419. The reversal of 56616026507344 is 44370562061665.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404130942 + ... + 404271010.

It is an arithmetic number, because the mean of its divisors is an integer number (749154590100).

Almost surely, 256616026507344 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 56616026507344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59932367208000).

56616026507344 is an abundant number, since it is smaller than the sum of its proper divisors (63248707908656).

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

56616026507344 is a wasteful number, since it uses less digits than its factorization.

56616026507344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140525 (or 140519 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 55.

The spelling of 56616026507344 in words is "fifty-six trillion, six hundred sixteen billion, twenty-six million, five hundred seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 59 68 89 118 136 178 236 272 283 356 472 566 712 944 1003 1132 1424 1513 2006 2264 3026 4012 4528 4811 5251 6052 8024 9622 10502 12104 16048 16697 19244 21004 24208 25187 33394 38488 42008 50374 66788 76976 84016 89267 100748 133576 140069 178534 201496 267152 280138 283849 357068 402992 428179 560276 567698 714136 856358 1120552 1135396 1428272 1486033 1712716 2241104 2270792 2381173 2972066 3425432 4541584 4762346 5944132 6850864 8264071 9524692 11888264 12466141 16528142 19049384 23776528 24932282 25262561 33056284 38098768 39639527 49864564 50525122 66112568 79279054 99729128 101050244 132225136 140489207 158558108 199458256 202100488 211924397 280978414 317116216 404200976 423848794 561956828 634232432 673871959 735502319 847697588 1123913656 1347743918 1471004638 1695395176 2247827312 2338732093 2695487836 2942009276 3390790352 3527917903 4677464186 5390975672 5884018552 7055835806 9354928372 10781951344 11768037104 12503539423 14111671612 18709856744 25007078846 28223343224 37419713488 39758445581 50014157692 56446686448 59974604351 79516891162 100028315384 119949208702 159033782324 200056630768 208147156277 239898417404 318067564648 416294312554 479796834808 636135129296 832588625108 959593669616 1665177250216 3330354500432 3538501656709 7077003313418 14154006626836 28308013253672 56616026507344