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679680866502 = 233113136911093
BaseRepresentation
bin10011110010000000010…
…00101111100011000110
32101222101010110110122000
421321000020233203012
542113441300212002
61240124023450130
7100051061020161
oct11710010574306
92358333413560
10679680866502
11242284147990
12ab8878b6946
134c12a925621
1424c7a8a8ad8
1512a302ed61c
hex9e4022f8c6

679680866502 has 64 divisors (see below), whose sum is σ = 1700863211520. Its totient is φ = 199319896800.

The previous prime is 679680866479. The next prime is 679680866503. The reversal of 679680866502 is 205668086976.

679680866502 is a `hidden beast` number, since 6 + 7 + 9 + 68 + 0 + 8 + 66 + 502 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 679680866502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679680866503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18437133 + ... + 18473960.

It is an arithmetic number, because the mean of its divisors is an integer number (26575987680).

Almost surely, 2679680866502 is an apocalyptic number.

679680866502 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

679680866502 is an abundant number, since it is smaller than the sum of its proper divisors (1021182345018).

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

679680866502 is a wasteful number, since it uses less digits than its factorization.

679680866502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36911146 (or 36911140 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 679680866502 in words is "six hundred seventy-nine billion, six hundred eighty million, eight hundred sixty-six thousand, five hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 6138 9207 18414 36911093 73822186 110733279 221466558 332199837 406022023 664399674 812044046 996599511 1144243883 1218066069 1993199022 2288487766 2436132138 3432731649 3654198207 6865463298 7308396414 10298194947 10962594621 12586682713 20596389894 21925189242 25173365426 30894584841 37760048139 61789169682 75520096278 113280144417 226560288834 339840433251 679680866502