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82422561353508 = 223229226973478381
BaseRepresentation
bin10010101111011001111111…
…011111011010111100100100
3101210211112001000102202022100
4102233121333133122330210
541300402401201303013
6451144222453532100
723234555622634305
oct2257317737327444
9353745030382270
1082422561353508
1124298237150122
1292b2065044030
1336cb54cc70a2c
14164d3b7b507ac
1597deeed75473
hex4af67f7daf24

82422561353508 has 72 divisors (see below), whose sum is σ = 215539818956280. Its totient is φ = 26525624993280.

The previous prime is 82422561353389. The next prime is 82422561353513. The reversal of 82422561353508 is 80535316522428.

82422561353508 is a `hidden beast` number, since 8 + 2 + 4 + 2 + 25 + 61 + 3 + 53 + 508 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9577155711204 + 72845405642304 = 3094698^2 + 8534952^2 .

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, 21956478 + ... + 25434858.

It is an arithmetic number, because the mean of its divisors is an integer number (2993608596615).

Almost surely, 282422561353508 is an apocalyptic number.

It is an amenable number.

82422561353508 is an abundant number, since it is smaller than the sum of its proper divisors (133117257602772).

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

82422561353508 is a wasteful number, since it uses less digits than its factorization.

82422561353508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501117 (or 3501112 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 82422561353508 in words is "eighty-two trillion, four hundred twenty-two billion, five hundred sixty-one million, three hundred fifty-three thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 22697 45394 68091 90788 136182 204273 272364 408546 658213 817092 1316426 1974639 2632852 3478381 3949278 5923917 6956762 7898556 10435143 11847834 13913524 20870286 23695668 31305429 41740572 62610858 100873049 125221716 201746098 302619147 403492196 605238294 907857441 1210476588 1815714882 3631429764 78948813557 157897627114 236846440671 315795254228 473692881342 710539322013 947385762684 1421078644026 2289515593153 2842157288052 4579031186306 6868546779459 9158062372612 13737093558918 20605640338377 27474187117836 41211280676754 82422561353508