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676239932676 = 2237111938519021
BaseRepresentation
bin10011101011100110000…
…10100111110100000100
32101122111022201220210110
421311303002213310010
542034414410321201
61234354344353020
766566566405140
oct11656302476404
92348438656713
10676239932676
112408788a3420
12ab087475770
134b9cca99bc9
1424a318c4220
15128cd1ac6d6
hex9d730a7d04

676239932676 has 96 divisors (see below), whose sum is σ = 2070782622720. Its totient is φ = 166402166400.

The previous prime is 676239932663. The next prime is 676239932681.

676239932676 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19241955 + ... + 19277066.

It is an arithmetic number, because the mean of its divisors is an integer number (21570652320).

Almost surely, 2676239932676 is an apocalyptic number.

676239932676 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

676239932676 is an abundant number, since it is smaller than the sum of its proper divisors (1394542690044).

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

676239932676 is a wasteful number, since it uses less digits than its factorization.

676239932676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38519065 (or 38519063 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 66.

The spelling of 676239932676 in words is "six hundred seventy-six billion, two hundred thirty-nine million, nine hundred thirty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 8778 17556 38519021 77038042 115557063 154076084 231114126 269633147 423709231 462228252 539266294 731861399 808899441 847418462 1078532588 1271127693 1463722798 1617798882 1694836924 2195584197 2542255386 2927445596 2965964617 3235597764 4391168394 5084510772 5123029793 5931929234 8050475389 8782336788 8897893851 10246059586 11863858468 15369089379 16100950778 17795787702 20492119172 24151426167 30738178758 32201901556 35591575404 48302852334 56353327723 61476357516 96605704668 112706655446 169059983169 225413310892 338119966338 676239932676