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102666155540 = 225131729800953
BaseRepresentation
bin101111110011101100…
…0010011011000010100
3100210222222111002002012
41133213120103120110
53140230013434130
6115055244003352
710263106631504
oct1374730233024
9323888432065
10102666155540
113a5a4406233
1217a92830558
1398b1ca6380
144d7d1a3a04
152a0d336995
hex17e7613614

102666155540 has 96 divisors (see below), whose sum is σ = 254318914080. Its totient is φ = 34447343616.

The previous prime is 102666155521. The next prime is 102666155563. The reversal of 102666155540 is 45551666201.

It can be written as a sum of positive squares in 16 ways, for example, as 58896494596 + 43769660944 = 242686^2 + 209212^2 .

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 31 ways as a sum of consecutive naturals, for example, 272297 + ... + 528656.

It is an arithmetic number, because the mean of its divisors is an integer number (2649155355).

Almost surely, 2102666155540 is an apocalyptic number.

102666155540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102666155540 is an abundant number, since it is smaller than the sum of its proper divisors (151652758540).

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

102666155540 is a wasteful number, since it uses less digits than its factorization.

102666155540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801021 (or 801019 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 102666155540 in words is "one hundred two billion, six hundred sixty-six million, one hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 29 34 52 58 65 68 85 116 130 145 170 221 260 290 340 377 442 493 580 754 884 986 1105 1508 1885 1972 2210 2465 3770 4420 4930 6409 7540 9860 12818 25636 32045 64090 128180 800953 1601906 3203812 4004765 8009530 10412389 13616201 16019060 20824778 23227637 27232402 41649556 46455274 52061945 54464804 68081005 92910548 104123890 116138185 136162010 177010613 208247780 232276370 272324020 301959281 354021226 394869829 464552740 603918562 708042452 789739658 885053065 1207837124 1509796405 1579479316 1770106130 1974349145 3019592810 3540212260 3948698290 5133307777 6039185620 7897396580 10266615554 20533231108 25666538885 51333077770 102666155540