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102905946680 = 23529791122937
BaseRepresentation
bin101111111010110101…
…1000010001000111000
3100211121200200201200112
41133311223002020320
53141222410243210
6115135131323452
710302051054155
oct1376553021070
9324550621615
10102905946680
113a7077a6929
1217b3abb0588
13991c883114
144da2d8322c
152a24400d05
hex17f5ac2238

102905946680 has 64 divisors (see below), whose sum is σ = 242554608000. Its totient is φ = 39239875584.

The previous prime is 102905946581. The next prime is 102905946697. The reversal of 102905946680 is 86649509201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 469829 + ... + 653108.

It is an arithmetic number, because the mean of its divisors is an integer number (3789915750).

Almost surely, 2102905946680 is an apocalyptic number.

102905946680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102905946680 is an abundant number, since it is smaller than the sum of its proper divisors (139648661320).

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

102905946680 is a wasteful number, since it uses less digits than its factorization.

102905946680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123056 (or 1123052 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 102905946680 in words is "one hundred two billion, nine hundred five million, nine hundred forty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 79 116 145 158 232 290 316 395 580 632 790 1160 1580 2291 3160 4582 9164 11455 18328 22910 45820 91640 1122937 2245874 4491748 5614685 8983496 11229370 22458740 32565173 44917480 65130346 88712023 130260692 162825865 177424046 260521384 325651730 354848092 443560115 651303460 709696184 887120230 1302606920 1774240460 2572648667 3548480920 5145297334 10290594668 12863243335 20581189336 25726486670 51452973340 102905946680