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102666389432832 = 293222280032429
BaseRepresentation
bin10111010101111111100001…
…101011000010101000000000
3111110111210220012110001120200
4113111333201223002220000
5101424041231143322312
61002204142130005200
730424254560312151
oct2725774153025000
9443453805401520
10102666389432832
112a792631367015
12b621526116800
134539525742284
141b4d118c1b928
15bd08c5c7d0dc
hex5d5fe1ac2a00

102666389432832 has 60 divisors (see below), whose sum is σ = 296302151286570. Its totient is φ = 34222129809408.

The previous prime is 102666389432819. The next prime is 102666389432843. The reversal of 102666389432832 is 238234983666201.

It can be written as a sum of positive squares in only one way, i.e., 95004476856576 + 7661912576256 = 9747024^2 + 2768016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102666389432832.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11140011607 + ... + 11140020822.

Almost surely, 2102666389432832 is an apocalyptic number.

102666389432832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102666389432832 is an abundant number, since it is smaller than the sum of its proper divisors (193635761853738).

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

102666389432832 is an equidigital number, since it uses as much as digits as its factorization.

102666389432832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22280032453 (or 22280032434 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 102666389432832 in words is "one hundred two trillion, six hundred sixty-six billion, three hundred eighty-nine million, four hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 22280032429 44560064858 66840097287 89120129716 133680194574 178240259432 200520291861 267360389148 356480518864 401040583722 534720778296 712961037728 802081167444 1069441556592 1425922075456 1604162334888 2138883113184 2851844150912 3208324669776 4277766226368 5703688301824 6416649339552 8555532452736 11407376603648 12833298679104 17111064905472 25666597358208 34222129810944 51333194716416 102666389432832