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104288076688158 = 232111927721445159
BaseRepresentation
bin10111101101100101110101…
…110000111110101100011110
3111200020211202101010020222200
4113231211311300332230132
5102132123440113010113
61005445140411552330
730652364521454646
oct2755456560765436
9450224671106880
10104288076688158
1130258363562410
12b843889a5b6a6
13462642877956c
141ba77d9919526
15c0cb8b2b5873
hex5ed975c3eb1e

104288076688158 has 48 divisors (see below), whose sum is σ = 259472726697600. Its totient is φ = 29939160770640.

The previous prime is 104288076688151. The next prime is 104288076688163. The reversal of 104288076688158 is 851886670882401.

104288076688158 is a `hidden beast` number, since 1 + 0 + 428 + 8 + 0 + 76 + 6 + 8 + 81 + 58 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104288076688151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13860718818 + ... + 13860726341.

It is an arithmetic number, because the mean of its divisors is an integer number (5405681806200).

Almost surely, 2104288076688158 is an apocalyptic number.

104288076688158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

104288076688158 is an abundant number, since it is smaller than the sum of its proper divisors (155184650009442).

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

104288076688158 is a wasteful number, since it uses less digits than its factorization.

104288076688158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27721445197 (or 27721445194 counting only the distinct ones).

The product of its (nonzero) digits is 330301440, while the sum is 72.

The spelling of 104288076688158 in words is "one hundred four trillion, two hundred eighty-eight billion, seventy-six million, six hundred eighty-eight thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 27721445159 55442890318 83164335477 166328670954 249493006431 304935896749 498986012862 526707458021 609871793498 914807690247 1053414916042 1580122374063 1829615380494 2744423070741 3160244748126 4740367122189 5488846141482 5793782038231 9480734244378 11587564076462 17381346114693 34762692229386 52144038344079 104288076688158