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56757125464116 = 223711235315819073
BaseRepresentation
bin11001110011110110011000…
…10011010100000000110100
321102221221001122211110121020
430321323030103110000310
524414402043104322431
6320413510302421140
714645365323250410
oct1471731423240064
9242857048743536
1056757125464116
11170a261a73a900
126447ab25917b0
13258923528367c
1410030b94c7d40
156865b2d93696
hex339ecc4d4034

56757125464116 has 144 divisors (see below), whose sum is σ = 166833775823232. Its totient is φ = 14700347228160.

The previous prime is 56757125464099. The next prime is 56757125464187. The reversal of 56757125464116 is 61146452175765.

It is a happy number.

It is a super-2 number, since 2×567571254641162 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56757125464116.

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, 4321645 + ... + 11497428.

Almost surely, 256757125464116 is an apocalyptic number.

It is an amenable number.

56757125464116 is an abundant number, since it is smaller than the sum of its proper divisors (110076650359116).

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

56757125464116 is a wasteful number, since it uses less digits than its factorization.

56757125464116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15819462 (or 15819449 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 60.

The spelling of 56757125464116 in words is "fifty-six trillion, seven hundred fifty-seven billion, one hundred twenty-five million, four hundred sixty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 353 363 462 484 706 726 847 924 1059 1412 1452 1694 2118 2471 2541 3388 3883 4236 4942 5082 7413 7766 9884 10164 11649 14826 15532 23298 27181 29652 42713 46596 54362 81543 85426 108724 128139 163086 170852 256278 298991 326172 512556 597982 896973 1195964 1793946 3587892 15819073 31638146 47457219 63276292 94914438 110733511 174009803 189828876 221467022 332200533 348019606 442934044 522029409 664401066 696039212 1044058818 1218068621 1328802132 1914107833 2088117636 2436137242 3654205863 3828215666 4872274484 5584132769 5742323499 7308411726 7656431332 11168265538 11484646998 13398754831 14616823452 16752398307 22336531076 22969293996 26797509662 33504796614 39088929383 40196264493 53595019324 61425460459 67009593228 78177858766 80392528986 117266788149 122850920918 156355717532 160785057972 184276381377 234533576298 245701841836 368552762754 429978223213 469067152596 675680065049 737105525508 859956446426 1289934669639 1351360130098 1719912892852 2027040195147 2579869339278 2702720260196 4054080390294 4729760455343 5159738678556 8108160780588 9459520910686 14189281366029 18919041821372 28378562732058 56757125464116