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54990659696392 = 23771101137999541
BaseRepresentation
bin11001000000011100000101…
…01111001011011100001000
321012201001111121211210202101
430200032002233023130020
524201431332340241032
6312542205454443144
714403641545051360
oct1440160257133410
9235631447753671
1054990659696392
1116581453882272
1262016848034b4
13248b79b697374
14d817c26b39a0
15655677383de7
hex320382bcb708

54990659696392 has 128 divisors (see below), whose sum is σ = 121560939578880. Its totient is φ = 22837489920000.

The previous prime is 54990659696377. The next prime is 54990659696393. The reversal of 54990659696392 is 29369695609945.

It is not an unprimeable number, because it can be changed into a prime (54990659696393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54516142 + ... + 55515682.

It is an arithmetic number, because the mean of its divisors is an integer number (949694840460).

Almost surely, 254990659696392 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 54990659696392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60780469789440).

54990659696392 is an abundant number, since it is smaller than the sum of its proper divisors (66570279882488).

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

54990659696392 is a wasteful number, since it uses less digits than its factorization.

54990659696392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999863 (or 999859 counting only the distinct ones).

The product of its (nonzero) digits is 7652750400, while the sum is 82.

The spelling of 54990659696392 in words is "fifty-four trillion, nine hundred ninety billion, six hundred fifty-nine million, six hundred ninety-six thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 56 71 101 137 142 202 274 284 404 497 548 568 707 808 959 994 1096 1414 1918 1988 2828 3836 3976 5656 7171 7672 9727 13837 14342 19454 27674 28684 38908 50197 55348 57368 68089 77816 96859 100394 110696 136178 193718 200788 272356 387436 401576 544712 774872 982427 999541 1964854 1999082 3929708 3998164 6876989 6996787 7859416 7996328 13753978 13993574 27507956 27987148 55015912 55974296 70967411 100953641 136937117 141934822 201907282 273874234 283869644 403814564 496771877 547748468 567739288 706675487 807629128 958559819 993543754 1095496936 1413350974 1917119638 1987087508 2826701948 3834239276 3974175016 5653403896 7167708511 7668478552 9722535307 13830648817 14335417022 19445070614 27661297634 28670834044 38890141228 50173959577 55322595268 57341668088 68057747149 77780282456 96814541719 100347919154 110645190536 136115494298 193629083438 200695838308 272230988596 387258166876 401391676616 544461977192 774516333752 981976066007 1963952132014 3927904264028 6873832462049 7855808528056 13747664924098 27495329848196 54990659696392