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45021192899544 = 23331016247330347
BaseRepresentation
bin10100011110010010100000…
…01101011100101111011000
312220101222120100012222112000
422033021100031130233120
521400111400340241134
6235430241150121000
712324450062346051
oct1217112015345730
9186358510188460
1045021192899544
1113388420767744
1250714aa4b0160
131c17632212c74
14b19074749728
15531187c90e99
hex28f25035cbd8

45021192899544 has 128 divisors (see below), whose sum is σ = 126317675404800. Its totient is φ = 14856056035200.

The previous prime is 45021192899539. The next prime is 45021192899569. The reversal of 45021192899544 is 44599829112054.

45021192899544 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 1 + 1 + 9 + 2 + 89 + 9 + 544 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136119379 + ... + 136449725.

It is an arithmetic number, because the mean of its divisors is an integer number (986856839100).

Almost surely, 245021192899544 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 45021192899544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63158837702400).

45021192899544 is an abundant number, since it is smaller than the sum of its proper divisors (81296482505256).

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

45021192899544 is a wasteful number, since it uses less digits than its factorization.

45021192899544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336710 (or 336700 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 45021192899544 in words is "forty-five trillion, twenty-one billion, one hundred ninety-two million, eight hundred ninety-nine thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2727 3636 5454 6247 7272 10908 12494 18741 21816 24988 37482 49976 56223 74964 112446 149928 168669 224892 330347 337338 449784 630947 660694 674676 991041 1261894 1321388 1349352 1892841 1982082 2523788 2642776 2973123 3785682 3964164 5047576 5678523 5946246 7571364 7928328 8919369 11357046 11892492 15142728 17035569 17838738 22714092 23784984 33365047 34071138 35677476 45428184 66730094 68142276 71354952 100095141 133460188 136284552 200190282 266920376 300285423 400380564 600570846 800761128 900856269 1201141692 1801712538 2063677709 2402283384 3603425076 4127355418 6191033127 7206850152 8254710836 12382066254 16509421672 18573099381 24764132508 37146198762 49528265016 55719298143 74292397524 111438596286 148584795048 208431448609 222877192572 416862897218 445754385144 625294345827 833725794436 1250588691654 1667451588872 1875883037481 2501177383308 3751766074962 5002354766616 5627649112443 7503532149924 11255298224886 15007064299848 22510596449772 45021192899544