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556111116 = 223311468107
BaseRepresentation
bin100001001001011…
…001010100001100
31102202102101001000
4201021121110030
52114331023431
6131103220300
716531603131
oct4111312414
91382371030
10556111116
11265a01570
121362a7690
138b29cc42
1453c00588
1533c4d9e6
hex2125950c

556111116 has 48 divisors (see below), whose sum is σ = 1572842880. Its totient is φ = 168518160.

The previous prime is 556111093. The next prime is 556111117. The reversal of 556111116 is 611111655.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 556111116.

It is not an unprimeable number, because it can be changed into a prime (556111117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232866 + ... + 235241.

It is an arithmetic number, because the mean of its divisors is an integer number (32767560).

Almost surely, 2556111116 is an apocalyptic number.

It is an amenable number.

556111116 is an abundant number, since it is smaller than the sum of its proper divisors (1016731764).

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

556111116 is a wasteful number, since it uses less digits than its factorization.

556111116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468131 (or 468123 counting only the distinct ones).

The product of its digits is 900, while the sum is 27.

The square root of 556111116 is about 23582.0083114225. The cubic root of 556111116 is about 822.3446261266.

It can be divided in two parts, 5 and 56111116, that added together give a triangular number (56111121 = T10593).

The spelling of 556111116 in words is "five hundred fifty-six million, one hundred eleven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 468107 936214 1404321 1872428 2808642 4212963 5149177 5617284 8425926 10298354 12638889 15447531 16851852 20596708 25277778 30895062 46342593 50555556 61790124 92685186 139027779 185370372 278055558 556111116