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104927569280 = 2751138111789
BaseRepresentation
bin110000110111000101…
…0111010010110000000
3101000211120201210112122
41201232022322112000
53204342424204110
6120111505543412
710403126423462
oct1415612722600
9330746653478
10104927569280
1140554971906
1218404044b68
139b8265b301
14511566a132
152ae1b35255
hex186e2ba580

104927569280 has 128 divisors (see below), whose sum is σ = 253515981600. Its totient is φ = 41525084160.

The previous prime is 104927569249. The next prime is 104927569321. The reversal of 104927569280 is 82965729401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1049275692802 (a number of 23 digits) contains 22 as substring.

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, 58650626 + ... + 58652414.

Almost surely, 2104927569280 is an apocalyptic number.

104927569280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104927569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126757990800).

104927569280 is an abundant number, since it is smaller than the sum of its proper divisors (148588412320).

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

104927569280 is a wasteful number, since it uses less digits than its factorization.

104927569280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 104927569280 in words is "one hundred four billion, nine hundred twenty-seven million, five hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 320 452 565 640 811 904 1130 1622 1789 1808 2260 3244 3578 3616 4055 4520 6488 7156 7232 8110 8945 9040 12976 14312 14464 16220 17890 18080 25952 28624 32440 35780 36160 51904 57248 64880 71560 72320 91643 103808 114496 129760 143120 183286 202157 228992 259520 286240 366572 404314 458215 519040 572480 733144 808628 916430 1010785 1144960 1450879 1466288 1617256 1832860 2021570 2901758 2932576 3234512 3665720 4043140 5803516 5865152 6469024 7254395 7331440 8086280 11607032 11730304 12938048 14508790 14662880 16172560 23214064 25876096 29017580 29325760 32345120 46428128 58035160 58651520 64690240 92856256 116070320 129380480 163949327 185712512 232140640 327898654 464281280 655797308 819746635 928562560 1311594616 1639493270 2623189232 3278986540 5246378464 6557973080 10492756928 13115946160 20985513856 26231892320 52463784640 104927569280