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54130473753768 = 233210952313188067
BaseRepresentation
bin11000100111011001110111…
…01010001101110010101000
321002122211012210020101200200
430103230323222031302220
524043333202240110033
6311043110224432200
714254540413143016
oct1423547352156250
9232584183211620
1054130473753768
111627a67228a025
1260a2a22178660
1324286355b8ab9
14d51d00cd58b6
1563d0d0360013
hex313b3ba8dca8

54130473753768 has 96 divisors (see below), whose sum is σ = 148231246706400. Its totient is φ = 17843769811584.

The previous prime is 54130473753767. The next prime is 54130473753893. The reversal of 54130473753768 is 86735737403145.

54130473753768 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 0 + 4 + 7 + 37 + 537 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (54130473753761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2489530 + ... + 10698537.

It is an arithmetic number, because the mean of its divisors is an integer number (1544075486525).

Almost surely, 254130473753768 is an apocalyptic number.

It is an amenable number.

54130473753768 is an abundant number, since it is smaller than the sum of its proper divisors (94100772952632).

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

54130473753768 is a wasteful number, since it uses less digits than its factorization.

54130473753768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188711 (or 13188704 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 54130473753768 in words is "fifty-four trillion, one hundred thirty billion, four hundred seventy-three million, seven hundred fifty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 523 654 872 981 1046 1308 1569 1962 2092 2616 3138 3924 4184 4707 6276 7848 9414 12552 18828 37656 57007 114014 171021 228028 342042 456056 513063 684084 1026126 1368168 2052252 4104504 13188067 26376134 39564201 52752268 79128402 105504536 118692603 158256804 237385206 316513608 474770412 949540824 1437499303 2874998606 4312497909 5749997212 6897359041 8624995818 11499994424 12937493727 13794718082 17249991636 20692077123 25874987454 27589436164 34499983272 41384154246 51749974908 55178872328 62076231369 82768308492 103499949816 124152462738 165536616984 248304925476 496609850952 751812135469 1503624270938 2255436406407 3007248541876 4510872812814 6014497083752 6766309219221 9021745625628 13532618438442 18043491251256 27065236876884 54130473753768