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54552431232 = 2733131214219
BaseRepresentation
bin110010110011100101…
…000000101010000000
312012210212000122021000
4302303211000222000
51343210410244412
641021103532000
73640601005005
oct626345005200
9165725018230
1054552431232
1121154475012
12a6a55ba000
1351b4c73410
1428d71a78ac
15164438d4dc
hexcb3940a80

54552431232 has 128 divisors (see below), whose sum is σ = 173390616000. Its totient is φ = 16785349632.

The previous prime is 54552431209. The next prime is 54552431237. The reversal of 54552431232 is 23213425545.

54552431232 is a `hidden beast` number, since 5 + 4 + 5 + 524 + 3 + 123 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54552431237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562182 + ... + 652037.

Almost surely, 254552431232 is an apocalyptic number.

54552431232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54552431232 is an abundant number, since it is smaller than the sum of its proper divisors (118838184768).

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

54552431232 is a wasteful number, since it uses less digits than its factorization.

54552431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214255 (or 1214237 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 54552431232 its reverse (23213425545), we get a palindrome (77765856777).

The spelling of 54552431232 in words is "fifty-four billion, five hundred fifty-two million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 1214219 2428438 3642657 4856876 7285314 9713752 10927971 14570628 15784847 19427504 21855942 29141256 31569694 32783913 38855008 43711884 47354541 58282512 63139388 65567826 77710016 87423768 94709082 116565024 126278776 131135652 142063623 155420032 174847536 189418164 233130048 252557552 262271304 284127246 349695072 378836328 426190869 466260096 505115104 524542608 568254492 699390144 757672656 852381738 1010230208 1049085216 1136508984 1398780288 1515345312 1704763476 2020460416 2098170432 2273017968 3030690624 3409526952 4196340864 4546035936 6061381248 6819053904 9092071872 13638107808 18184143744 27276215616 54552431232