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102212755917456 = 24317373385425143
BaseRepresentation
bin10111001111011001000011…
…000000100000101010010000
3111101220102222200221210220110
4113033121003000200222100
5101344123211003324311
61001215520345241320
730346425243124122
oct2717310300405220
9441812880853813
10102212755917456
112a6282060417a8
12b569625193240
13450581064b022
141b351a3933212
15bc3bc5a0c8a6
hex5cf643020a90

102212755917456 has 80 divisors (see below), whose sum is σ = 287138219013504. Its totient is φ = 31200078108672.

The previous prime is 102212755917451. The next prime is 102212755917457. The reversal of 102212755917456 is 654719557212201.

It is a junction number, because it is equal to n+sod(n) for n = 102212755917396 and 102212755917405.

It is not an unprimeable number, because it can be changed into a prime (102212755917451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1692682380 + ... + 1692742763.

Almost surely, 2102212755917456 is an apocalyptic number.

102212755917456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102212755917456 is an abundant number, since it is smaller than the sum of its proper divisors (184925463096048).

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

102212755917456 is a wasteful number, since it uses less digits than its factorization.

102212755917456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385425208 (or 3385425202 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 57.

The spelling of 102212755917456 in words is "one hundred two trillion, two hundred twelve billion, seven hundred fifty-five million, nine hundred seventeen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 296 408 444 592 629 816 888 1258 1776 1887 2516 3774 5032 7548 10064 15096 30192 3385425143 6770850286 10156275429 13541700572 20312550858 27083401144 40625101716 54166802288 57552227431 81250203432 115104454862 125260730291 162500406864 172656682293 230208909724 250521460582 345313364586 375782190873 460417819448 501042921164 690626729172 751564381746 920835638896 1002085842328 1381253458344 1503128763492 2004171684656 2129432414947 2762506916688 3006257526984 4258864829894 6012515053968 6388297244841 8517729659788 12776594489682 17035459319576 25553188979364 34070918639152 51106377958728 102212755917456