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814118884000680 = 233512829528827191
BaseRepresentation
bin1011100100011011111101001…
…0111000101100001110101000
310221202120000010210200011021110
42321012333102320230032220
51323202010433301010210
612003253015133510320
7333324101612500446
oct27106772270541650
93852500123604243
10814118884000680
11216448974a8a205
127738583b0423a0
1328c3610994397b
14105077c8361b96
15641c179169420
hex2e46fd2e2c3a8

814118884000680 has 64 divisors (see below), whose sum is σ = 2442547034409600. Its totient is φ = 217081446186240.

The previous prime is 814118884000651. The next prime is 814118884000733. The reversal of 814118884000680 is 86000488811418.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 814118884000680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262874116 + ... + 265953075.

It is an arithmetic number, because the mean of its divisors is an integer number (38164797412650).

Almost surely, 2814118884000680 is an apocalyptic number.

It is an amenable number.

814118884000680 is an abundant number, since it is smaller than the sum of its proper divisors (1628428150408920).

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

814118884000680 is a wasteful number, since it uses less digits than its factorization.

814118884000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528840034 (or 528840030 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 57.

The spelling of 814118884000680 in words is "eight hundred fourteen trillion, one hundred eighteen billion, eight hundred eighty-four million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 12829 25658 38487 51316 64145 76974 102632 128290 153948 192435 256580 307896 384870 513160 769740 1539480 528827191 1057654382 1586481573 2115308764 2644135955 3172963146 4230617528 5288271910 6345926292 7932407865 10576543820 12691852584 15864815730 21153087640 31729631460 63459262920 6784324033339 13568648066678 20352972100017 27137296133356 33921620166695 40705944200034 54274592266712 67843240333390 81411888400068 101764860500085 135686480666780 162823776800136 203529721000170 271372961333560 407059442000340 814118884000680