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72082418565540 = 22355773121667127
BaseRepresentation
bin10000011000111011111110…
…111101000000000110100100
3100110020000022200112112222010
4100120323332331000012210
533421444243123044130
6413150112252234220
721116532346262145
oct2030737675000644
9313200280475863
1072082418565540
1120a70a89106089
12810208016b970
13312b45c48c046
1413b2b44383acc
158500684840b0
hex418efef401a4

72082418565540 has 96 divisors (see below), whose sum is σ = 202245649208064. Its totient is φ = 19182487633920.

The previous prime is 72082418565533. The next prime is 72082418565541. The reversal of 72082418565540 is 4556581428027.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72082418565541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107715457 + ... + 108382583.

It is an arithmetic number, because the mean of its divisors is an integer number (2106725512584).

Almost surely, 272082418565540 is an apocalyptic number.

It is an amenable number.

72082418565540 is an abundant number, since it is smaller than the sum of its proper divisors (130163230642524).

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

72082418565540 is a wasteful number, since it uses less digits than its factorization.

72082418565540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670837 (or 670835 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 57.

The spelling of 72082418565540 in words is "seventy-two trillion, eighty-two billion, four hundred eighteen million, five hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 577 1154 1731 2308 2885 3121 3462 5770 6242 6924 8655 9363 11540 12484 15605 17310 18726 31210 34620 37452 46815 62420 93630 187260 667127 1334254 1800817 2001381 2668508 3335635 3601634 4002762 5402451 6671270 7203268 8005524 9004085 10006905 10804902 13342540 18008170 20013810 21609804 27012255 36016340 40027620 54024510 108049020 384932279 769864558 1154796837 1539729116 1924661395 2082103367 2309593674 3849322790 4164206734 4619187348 5773984185 6246310101 7698645580 8328413468 10410516835 11547968370 12492620202 20821033670 23095936740 24985240404 31231550505 41642067340 62463101010 124926202020 1201373642759 2402747285518 3604120928277 4805494571036 6006868213795 7208241856554 12013736427590 14416483713108 18020604641385 24027472855180 36041209282770 72082418565540