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556660010060 = 2257113011120049
BaseRepresentation
bin10000001100110111000…
…01011010110001001100
31222012211121000110010122
420012123201122301030
533110014430310220
61103420455524112
755134361005140
oct10063341326114
91865747013118
10556660010060
111a50950776a0
128ba74389638
134065393384b
141cd2a28b220
15e730034425
hex819b85ac4c

556660010060 has 96 divisors (see below), whose sum is σ = 1457933299200. Its totient is φ = 173445350400.

The previous prime is 556660010017. The next prime is 556660010077. The reversal of 556660010060 is 60010066655.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 556660010060.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4576916 + ... + 4696964.

It is an arithmetic number, because the mean of its divisors is an integer number (15186805200).

Almost surely, 2556660010060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556660010060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728966649600).

556660010060 is an abundant number, since it is smaller than the sum of its proper divisors (901273289140).

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

556660010060 is a wasteful number, since it uses less digits than its factorization.

556660010060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123087 (or 123085 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 556660010060 in words is "five hundred fifty-six billion, six hundred sixty million, ten thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 3011 6022 12044 15055 21077 30110 33121 42154 60220 66242 84308 105385 120049 132484 165605 210770 231847 240098 331210 421540 463694 480196 600245 662420 840343 927388 1159235 1200490 1320539 1680686 2318470 2400980 2641078 3361372 4201715 4636940 5282156 6602695 8403430 9243773 13205390 16806860 18487546 26410780 36975092 46218865 92437730 184875460 361467539 722935078 1445870156 1807337695 2530272773 3614675390 3976142929 5060545546 7229350780 7952285858 10121091092 12651363865 15904571716 19880714645 25302727730 27833000503 39761429290 50605455460 55666001006 79522858580 111332002012 139165002515 278330005030 556660010060