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82449852408 = 233271114871907
BaseRepresentation
bin100110011001001100…
…1001110011111111000
321212211001221110201100
41030302121032133320
52322324130234113
6101513230251400
75646120116310
oct1146231163770
9255731843640
1082449852408
1131a6a8794a0
1213b90356b60
137a0c856921
143dc2294440
1522285e0d73
hex133264e7f8

82449852408 has 96 divisors (see below), whose sum is σ = 278402117760. Its totient is φ = 21415544640.

The previous prime is 82449852403. The next prime is 82449852427. The reversal of 82449852408 is 80425894428.

82449852408 is a `hidden beast` number, since 8 + 24 + 4 + 98 + 524 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82449852403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7430410 + ... + 7441497.

It is an arithmetic number, because the mean of its divisors is an integer number (2900022060).

Almost surely, 282449852408 is an apocalyptic number.

82449852408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82449852408 is an abundant number, since it is smaller than the sum of its proper divisors (195952265352).

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

82449852408 is a wasteful number, since it uses less digits than its factorization.

82449852408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14871937 (or 14871930 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 82449852408 in words is "eighty-two billion, four hundred forty-nine million, eight hundred fifty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 14871907 29743814 44615721 59487628 89231442 104103349 118975256 133847163 163590977 178462884 208206698 267694326 312310047 327181954 356925768 416413396 490772931 535388652 624620094 654363908 832826792 936930141 981545862 1070777304 1145136839 1249240188 1308727816 1472318793 1873860282 1963091724 2290273678 2498480376 2944637586 3435410517 3747720564 3926183448 4580547356 5889275172 6870821034 7495441128 9161094712 10306231551 11778550344 13741642068 20612463102 27483284136 41224926204 82449852408