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51376867577136 = 24321789235812163
BaseRepresentation
bin10111010111010000110111…
…11100010000110100110000
320201220120200020102020000100
423223220123330100310300
523213224311044432021
6301134112423552400
713551566446630113
oct1353503374206460
9221816606366010
1051376867577136
111540889739a732
125919220bbb700
132288a829b446a
14c989218d457a
155e166c053626
hex2eba1bf10d30

51376867577136 has 120 divisors (see below), whose sum is σ = 153952329389040. Its totient is φ = 15937129156608.

The previous prime is 51376867577081. The next prime is 51376867577137. The reversal of 51376867577136 is 63177576867315.

51376867577136 is a `hidden beast` number, since 5 + 1 + 37 + 6 + 8 + 6 + 7 + 577 + 13 + 6 = 666.

51376867577136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (51376867577137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117688210 + ... + 118123953.

It is an arithmetic number, because the mean of its divisors is an integer number (1282936078242).

Almost surely, 251376867577136 is an apocalyptic number.

It is an amenable number.

51376867577136 is an abundant number, since it is smaller than the sum of its proper divisors (102575461811904).

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

51376867577136 is a wasteful number, since it uses less digits than its factorization.

51376867577136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235812283 (or 235812274 counting only the distinct ones).

The product of its digits is 933508800, while the sum is 72.

The spelling of 51376867577136 in words is "fifty-one trillion, three hundred seventy-six billion, eight hundred sixty-seven million, five hundred seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 89 102 136 144 153 178 204 267 272 306 356 408 534 612 712 801 816 1068 1224 1424 1513 1602 2136 2448 3026 3204 4272 4539 6052 6408 9078 12104 12816 13617 18156 24208 27234 36312 54468 72624 108936 217872 235812163 471624326 707436489 943248652 1414872978 1886497304 2122309467 2829745956 3772994608 4008806771 4244618934 5659491912 8017613542 8489237868 11318983824 12026420313 16035227084 16978475736 20987282507 24052840626 32070454168 33956951472 36079260939 41974565014 48105681252 62961847521 64140908336 72158521878 83949130028 96211362504 125923695042 144317043756 167898260056 188885542563 192422725008 251847390084 288634087512 335796520112 356783802619 377771085126 503694780168 577268175024 713567605238 755542170252 1007389560336 1070351407857 1427135210476 1511084340504 2140702815714 2854270420952 3022168681008 3211054223571 4281405631428 5708540841904 6422108447142 8562811262856 12844216894284 17125622525712 25688433788568 51376867577136