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556252102116 = 223345491132223
BaseRepresentation
bin10000001100000110011…
…01010111110111100100
31222011210011110120122000
420012003031113313210
533103201014231431
61103312205005300
755121305566144
oct10060315276744
91864704416560
10556252102116
111a49a58a0397
128b97b853830
13405ba2839b9
141cccc028924
15e70930c9e6
hex8183357de4

556252102116 has 48 divisors (see below), whose sum is σ = 1442453376000. Its totient is φ = 185376443616.

The previous prime is 556252102111. The next prime is 556252102141. The reversal of 556252102116 is 611201252655.

556252102116 is a `hidden beast` number, since 5 + 5 + 625 + 2 + 1 + 0 + 21 + 1 + 6 = 666.

It is a super-2 number, since 2×5562521021162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (556252102111) 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 15 ways as a sum of consecutive naturals, for example, 74820 + ... + 1057403.

It is an arithmetic number, because the mean of its divisors is an integer number (30051112000).

Almost surely, 2556252102116 is an apocalyptic number.

It is an amenable number.

556252102116 is an abundant number, since it is smaller than the sum of its proper divisors (886201273884).

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

556252102116 is a wasteful number, since it uses less digits than its factorization.

556252102116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136785 (or 1136777 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 556252102116 in words is "five hundred fifty-six billion, two hundred fifty-two million, one hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 4549 9098 13647 18196 27294 40941 54588 81882 122823 163764 245646 491292 1132223 2264446 3396669 4528892 6793338 10190007 13586676 20380014 30570021 40760028 61140042 122280084 5150482427 10300964854 15451447281 20601929708 30902894562 46354341843 61805789124 92708683686 139063025529 185417367372 278126051058 556252102116