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10242343785888 = 253311854564567
BaseRepresentation
bin1001010100001011101101…
…0000110101010110100000
31100021011021112211010122000
42111002323100311112200
52320302310002122023
633441133501244000
72104661553500154
oct225027320652640
940234245733560
1010242343785888
113299832060295
121195050263600
13593b05c92bb6
14275a36ba7064
1512b660a1e243
hex950bb4355a0

10242343785888 has 48 divisors (see below), whose sum is σ = 29873502711360. Its totient is φ = 3414114595008.

The previous prime is 10242343785857. The next prime is 10242343785889. The reversal of 10242343785888 is 88858734324201.

10242343785888 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 2 + 3 + 43 + 7 + 8 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10242343785889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5927281420 + ... + 5927283147.

It is an arithmetic number, because the mean of its divisors is an integer number (622364639820).

Almost surely, 210242343785888 is an apocalyptic number.

10242343785888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10242343785888 is an abundant number, since it is smaller than the sum of its proper divisors (19631158925472).

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

10242343785888 is a wasteful number, since it uses less digits than its factorization.

10242343785888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11854564586 (or 11854564572 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 10242343785888 in words is "ten trillion, two hundred forty-two billion, three hundred forty-three million, seven hundred eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11854564567 23709129134 35563693701 47418258268 71127387402 94836516536 106691081103 142254774804 189673033072 213382162206 284509549608 320073243309 379346066144 426764324412 569019099216 640146486618 853528648824 1138038198432 1280292973236 1707057297648 2560585946472 3414114595296 5121171892944 10242343785888