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81964725220 = 22576150319081
BaseRepresentation
bin100110001010101111…
…0100111001111100100
321211120021002110022201
41030111132213033210
52320330432201340
6101353140304244
75631106445320
oct1142536471744
9254507073281
1081964725220
1131840a50234
1213a759a2084
1379631ab311
143d77a90980
1521eac1479a
hex13157a73e4

81964725220 has 96 divisors (see below), whose sum is σ = 200348176896. Its totient is φ = 27585100800.

The previous prime is 81964725151. The next prime is 81964725239. The reversal of 81964725220 is 2252746918.

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, 4286080 + ... + 4305160.

It is an arithmetic number, because the mean of its divisors is an integer number (2086960176).

Almost surely, 281964725220 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 81964725220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100174088448).

81964725220 is an abundant number, since it is smaller than the sum of its proper divisors (118383451676).

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

81964725220 is a wasteful number, since it uses less digits than its factorization.

81964725220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19661 (or 19659 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 81964725220 in words is "eighty-one billion, nine hundred sixty-four million, seven hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 503 610 854 1006 1220 1708 2012 2135 2515 3521 4270 5030 7042 8540 10060 14084 17605 19081 30683 35210 38162 61366 70420 76324 95405 122732 133567 153415 190810 214781 267134 306830 381620 429562 534268 613660 667835 859124 1073905 1163941 1335670 2147810 2327882 2671340 4295620 4655764 5819705 8147587 9597743 11639410 16295174 19195486 23278820 32590348 38390972 40737935 47988715 67184201 81475870 95977430 134368402 162951740 191954860 268736804 335921005 585462323 671842010 1170924646 1343684020 2341849292 2927311615 4098236261 5854623230 8196472522 11709246460 16392945044 20491181305 40982362610 81964725220