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81984949272 = 23327965322073
BaseRepresentation
bin100110001011010101…
…1110000110000011000
321211121200010221111200
41030112223300300120
52320401121334042
6101355141554200
75631443366502
oct1142653606030
9254550127450
1081984949272
1131851403926
1213a80715960
13796743c705
143d7a636d72
1521ec8abc4c
hex1316af0c18

81984949272 has 96 divisors (see below), whose sum is σ = 225207777600. Its totient is φ = 26939847168.

The previous prime is 81984949237. The next prime is 81984949297. The reversal of 81984949272 is 27294948918.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3703228 + ... + 3725300.

It is an arithmetic number, because the mean of its divisors is an integer number (2345914350).

Almost surely, 281984949272 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 81984949272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112603888800).

81984949272 is an abundant number, since it is smaller than the sum of its proper divisors (143222828328).

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

81984949272 is a wasteful number, since it uses less digits than its factorization.

81984949272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22817 (or 22810 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 81984949272 in words is "eighty-one billion, nine hundred eighty-four million, nine hundred forty-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 653 711 948 1306 1422 1896 1959 2612 2844 3918 5224 5688 5877 7836 11754 15672 22073 23508 44146 47016 51587 66219 88292 103174 132438 154761 176584 198657 206348 264876 309522 397314 412696 464283 529752 619044 794628 928566 1238088 1589256 1743767 1857132 3487534 3714264 5231301 6975068 10462602 13950136 14413669 15693903 20925204 28827338 31387806 41850408 43241007 57654676 62775612 86482014 115309352 125551224 129723021 172964028 259446042 345928056 518892084 1037784168 1138679851 2277359702 3416039553 4554719404 6832079106 9109438808 10248118659 13664158212 20496237318 27328316424 40992474636 81984949272