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556105000506 = 231117033494677
BaseRepresentation
bin10000001011110100111…
…00001110011000111010
31222011101220200001011020
420011322130032120322
533102400340004011
61103245432043310
755114541340366
oct10057234163072
91864356601136
10556105000506
111a492a858810
128b93a533536
134059595b123
141ccb66962a6
15e6eb452006
hex817a70e63a

556105000506 has 32 divisors (see below), whose sum is σ = 1213393687488. Its totient is φ = 168506432640.

The previous prime is 556105000499. The next prime is 556105000511. The reversal of 556105000506 is 605000501655.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 876840 + ... + 1371516.

It is an arithmetic number, because the mean of its divisors is an integer number (37918552734).

Almost surely, 2556105000506 is an apocalyptic number.

556105000506 is an abundant number, since it is smaller than the sum of its proper divisors (657288686982).

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

556105000506 is a wasteful number, since it uses less digits than its factorization.

556105000506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511726.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 556105000506 in words is "five hundred fifty-six billion, one hundred five million, five hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 17033 34066 51099 102198 187363 374726 494677 562089 989354 1124178 1484031 2968062 5441447 10882894 16324341 32648682 8425833341 16851666682 25277500023 50555000046 92684166751 185368333502 278052500253 556105000506