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102666565944 = 23324134778647
BaseRepresentation
bin101111110011101100…
…1110111100100111000
3100211000000020221001100
41133213121313210320
53140230120102234
6115055300451400
710263113261145
oct1374731674470
9324000227040
10102666565944
113a5a4666608
1217a929a9b60
1398b20bb107
144d7d26d3cc
152a0d3b8399
hex17e7677938

102666565944 has 48 divisors (see below), whose sum is σ = 284837127120. Its totient is φ = 33387500160.

The previous prime is 102666565931. The next prime is 102666565993. The reversal of 102666565944 is 449565666201.

It is a super-4 number, since 4×1026665659444 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17386372 + ... + 17392275.

It is an arithmetic number, because the mean of its divisors is an integer number (5934106815).

Almost surely, 2102666565944 is an apocalyptic number.

It is an amenable number.

102666565944 is an abundant number, since it is smaller than the sum of its proper divisors (182170561176).

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

102666565944 is a wasteful number, since it uses less digits than its factorization.

102666565944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34778700 (or 34778693 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 102666565944 in words is "one hundred two billion, six hundred sixty-six million, five hundred sixty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 34778647 69557294 104335941 139114588 208671882 278229176 313007823 417343764 626015646 834687528 1252031292 1425924527 2504062584 2851849054 4277773581 5703698108 8555547162 11407396216 12833320743 17111094324 25666641486 34222188648 51333282972 102666565944