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82695937504 = 2517476474999
BaseRepresentation
bin100110100000100001…
…1111101110111100000
321220110012222220000011
41031001003331313200
52323330130000004
6101553500534304
75655165604465
oct1150103756740
9256405886004
1082695937504
1132086778904
121403a851394
137a4b8283cb
144006c3166c
152240000004
hex13410fdde0

82695937504 has 96 divisors (see below), whose sum is σ = 176359680000. Its totient is φ = 38021265408.

The previous prime is 82695937463. The next prime is 82695937517. The reversal of 82695937504 is 40573959628.

It is a congruent number.

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, 16539997 + ... + 16544995.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080000).

Almost surely, 282695937504 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 82695937504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88179840000).

82695937504 is an abundant number, since it is smaller than the sum of its proper divisors (93663742496).

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

82695937504 is a wasteful number, since it uses less digits than its factorization.

82695937504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5720 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 58.

The spelling of 82695937504 in words is "eighty-two billion, six hundred ninety-five million, nine hundred thirty-seven thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 136 188 272 376 544 647 752 799 1294 1504 1598 2588 3196 4999 5176 6392 9998 10352 10999 12784 19996 20704 21998 25568 30409 39992 43996 60818 79984 84983 87992 121636 159968 169966 175984 234953 243272 339932 351968 469906 486544 516953 679864 939812 973088 1033906 1359728 1879624 2067812 2719456 3234353 3759248 3994201 4135624 6468706 7518496 7988402 8271248 12937412 15976804 16542496 25874824 31953608 51749648 54984001 63907216 103499296 109968002 127814432 152014591 219936004 304029182 439872008 608058364 879744016 1216116728 1759488032 2432233456 2584248047 4864466912 5168496094 10336992188 20673984376 41347968752 82695937504