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80162417354472 = 23342933119135367
BaseRepresentation
bin10010001110100001000100…
…011010010010011011101000
3101111211110012200202111120000
4102032201010122102123220
541001340112320320342
6442254034532103000
722612354300630245
oct2216410432223350
9344743180674500
1080162417354472
11235a6765848512
128ba801b464a60
13359638bb829ab
1415b1c4b5645cc
1594031d72944c
hex48e8446926e8

80162417354472 has 160 divisors (see below), whose sum is σ = 225369201657600. Its totient is φ = 26620873969536.

The previous prime is 80162417354471. The next prime is 80162417354477. The reversal of 80162417354472 is 27445371426108.

80162417354472 is a `hidden beast` number, since 8 + 0 + 1 + 6 + 24 + 1 + 7 + 3 + 544 + 72 = 666.

It is a super-2 number, since 2×801624173544722 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (80162417354471) 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 39 ways as a sum of consecutive naturals, for example, 592118133 + ... + 592253499.

It is an arithmetic number, because the mean of its divisors is an integer number (1408557510360).

Almost surely, 280162417354472 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 80162417354472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112684600828800).

80162417354472 is an abundant number, since it is smaller than the sum of its proper divisors (145206784303128).

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

80162417354472 is a wasteful number, since it uses less digits than its factorization.

80162417354472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138797 (or 138784 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 80162417354472 in words is "eighty trillion, one hundred sixty-two billion, four hundred seventeen million, three hundred fifty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 293 324 586 648 879 1172 1758 2344 2637 3119 3516 5274 6238 7032 7911 9357 10548 12476 15822 18714 21096 23733 24952 28071 31644 37428 47466 56142 63288 74856 84213 94932 112284 135367 168426 189864 224568 252639 270734 336852 406101 505278 541468 673704 812202 913867 1010556 1082936 1218303 1624404 1827734 2021112 2436606 2741601 3248808 3654909 3655468 4873212 5483202 7309818 7310936 8224803 9746424 10964727 10966404 14619636 16449606 21929454 21932808 24674409 29239272 32899212 39662531 43858908 49348818 65798424 74023227 79325062 87717816 98697636 118987593 148046454 158650124 197395272 237975186 296092908 317300248 356962779 422209673 475950372 592185816 713925558 844419346 951900744 1070888337 1266629019 1427851116 1688838692 2141776674 2533258038 2855702232 3212665011 3377677384 3799887057 4283553348 5066516076 6425330022 7599774114 8567106696 10133032152 11399661171 12850660044 15199548228 22799322342 25701320088 30399096456 34198983513 45598644684 68397967026 91197289368 123707434189 136795934052 247414868378 273591868104 371122302567 494829736756 742244605134 989659473512 1113366907701 1484489210268 2226733815402 2968978420536 3340100723103 4453467630804 6680201446206 8906935261608 10020302169309 13360402892412 20040604338618 26720805784824 40081208677236 80162417354472