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81421675584 = 2633117976423
BaseRepresentation
bin100101111010100011…
…1000010110001000000
321210011102020200021020
41023311013002301000
52313222422104314
6101223221025440
75611463552244
oct1136507026100
9253142220236
1081421675584
113159245aa87
1213943b55280
1378a7832582
143d258d0424
1521b81e5da9
hex12f51c2c40

81421675584 has 112 divisors (see below), whose sum is σ = 223622737920. Its totient is φ = 26117982720.

The previous prime is 81421675579. The next prime is 81421675591. The reversal of 81421675584 is 48557612418.

It is a happy number.

It is a super-2 number, since 2×814216755842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027197 + ... + 1103619.

Almost surely, 281421675584 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 81421675584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111811368960).

81421675584 is an abundant number, since it is smaller than the sum of its proper divisors (142201062336).

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

81421675584 is a wasteful number, since it uses less digits than its factorization.

81421675584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76648 (or 76638 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 51.

The spelling of 81421675584 in words is "eighty-one billion, four hundred twenty-one million, six hundred seventy-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 179 186 192 248 358 372 496 537 716 744 992 1074 1432 1488 1984 2148 2864 2976 4296 5549 5728 5952 8592 11098 11456 16647 17184 22196 33294 34368 44392 66588 76423 88784 133176 152846 177568 229269 266352 305692 355136 458538 532704 611384 917076 1065408 1222768 1834152 2369113 2445536 3668304 4738226 4891072 7107339 7336608 9476452 13679717 14214678 14673216 18952904 27359434 28429356 37905808 41039151 54718868 56858712 75811616 82078302 109437736 113717424 151623232 164156604 218875472 227434848 328313208 424071227 437750944 454869696 656626416 848142454 875501888 1272213681 1313252832 1696284908 2544427362 2626505664 3392569816 5088854724 6785139632 10177709448 13570279264 20355418896 27140558528 40710837792 81421675584