Search a number
-
+
51115768270224 = 24371817431131223
BaseRepresentation
bin10111001111101010100010…
…01101011100110110010000
320200222121201210000011011220
423213311101031130312100
523144440043134121344
6300414132035405040
713523664250300020
oct1347652115346620
9220877653004156
1051115768270224
111531809166a969
1258966b3453780
13226a27226aa58
14c8a032d61a80
155d9989ad0c19
hex2e7d5135cd90

51115768270224 has 160 divisors (see below), whose sum is σ = 151951365156864. Its totient is φ = 14504256990720.

The previous prime is 51115768270213. The next prime is 51115768270297. The reversal of 51115768270224 is 42207286751115.

It is a super-2 number, since 2×511157682702242 (a number of 28 digits) contains 22 as substring.

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, 44620677 + ... + 45751899.

Almost surely, 251115768270224 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 51115768270224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75975682578432).

51115768270224 is an abundant number, since it is smaller than the sum of its proper divisors (100835596886640).

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

51115768270224 is a wasteful number, since it uses less digits than its factorization.

51115768270224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132165 (or 1132159 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 51.

The spelling of 51115768270224 in words is "fifty-one trillion, one hundred fifteen billion, seven hundred sixty-eight million, two hundred seventy thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 181 336 362 543 724 743 1086 1267 1448 1486 2172 2229 2534 2896 2972 3801 4344 4458 5068 5201 5944 7602 8688 8916 10136 10402 11888 15204 15603 17832 20272 20804 30408 31206 35664 41608 60816 62412 83216 124824 134483 249648 268966 403449 537932 806898 941381 1075864 1131223 1613796 1882762 2151728 2262446 2824143 3227592 3393669 3765524 4524892 5648286 6455184 6787338 7531048 7918561 9049784 11296572 13574676 15062096 15837122 18099568 22593144 23755683 27149352 31674244 45186288 47511366 54298704 63348488 95022732 126696976 190045464 204751363 380090928 409502726 614254089 819005452 840498689 1228508178 1433259541 1638010904 1680997378 2457016356 2521496067 2866519082 3276021808 3361994756 4299778623 4914032712 5042992134 5733038164 5883490823 6723989512 8599557246 9828065424 10085984268 11466076328 11766981646 13447979024 17199114492 17650472469 20171968536 22932152656 23533963292 34398228984 35300944938 40343937072 47067926584 68796457968 70601889876 94135853168 141203779752 152130262709 282407559504 304260525418 456390788127 608521050836 912781576254 1064911838963 1217042101672 1825563152508 2129823677926 2434084203344 3194735516889 3651126305016 4259647355852 6389471033778 7302252610032 8519294711704 12778942067556 17038589423408 25557884135112 51115768270224