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104835678035814 = 232111731145477729
BaseRepresentation
bin10111110101100011110101…
…010110010101111101100110
3111202012012012122122222102100
4113311203311112111331212
5102220111432034121224
61010544502353152530
731040061555225465
oct2765436526257546
9452165178588370
10104835678035814
113044961a210950
12b911a3455b746
134665c6773092b
141bc6106a809dc
15c1c03add1ac9
hex5f58f5595f66

104835678035814 has 48 divisors (see below), whose sum is σ = 262369504397520. Its totient is φ = 29899658618880.

The previous prime is 104835678035807. The next prime is 104835678035843. The reversal of 104835678035814 is 418530876538401.

It is a happy number.

104835678035814 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 3 + 567 + 8 + 0 + 3 + 58 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

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, 15572735499 + ... + 15572742230.

It is an arithmetic number, because the mean of its divisors is an integer number (5466031341615).

Almost surely, 2104835678035814 is an apocalyptic number.

104835678035814 is an abundant number, since it is smaller than the sum of its proper divisors (157533826361706).

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

104835678035814 is a wasteful number, since it uses less digits than its factorization.

104835678035814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31145477765 (or 31145477762 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 104835678035814 in words is "one hundred four trillion, eight hundred thirty-five billion, six hundred seventy-eight million, thirty-five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 31145477729 62290955458 93436433187 186872866374 280309299561 342600255019 529473121393 560618599122 685200510038 1027800765057 1058946242786 1588419364179 2055601530114 3083402295171 3176838728358 4765258092537 5824204335323 6166804590342 9530516185074 11648408670646 17472613005969 34945226011938 52417839017907 104835678035814