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27556056864 = 2532713668679
BaseRepresentation
bin11001101010011110…
…000000111100100000
32122010102120201122200
4121222132000330200
5422413322304424
620354205533200
71663602422130
oct315236007440
978112521580
1027556056864
1110760748416
125410574200
1327a1c61bbb
141495a2aac0
15ab42c28c9
hex66a780f20

27556056864 has 72 divisors (see below), whose sum is σ = 89557191360. Its totient is φ = 7873158528.

The previous prime is 27556056811. The next prime is 27556056937. The reversal of 27556056864 is 46865065572.

27556056864 is a `hidden beast` number, since 2 + 7 + 556 + 0 + 5 + 6 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 27556056864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6832324 + ... + 6836355.

It is an arithmetic number, because the mean of its divisors is an integer number (1243849880).

Almost surely, 227556056864 is an apocalyptic number.

27556056864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27556056864 is an abundant number, since it is smaller than the sum of its proper divisors (62001134496).

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

27556056864 is a wasteful number, since it uses less digits than its factorization.

27556056864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13668702 (or 13668691 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 27556056864 in words is "twenty-seven billion, five hundred fifty-six million, fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 13668679 27337358 41006037 54674716 82012074 95680753 109349432 123018111 164024148 191361506 218698864 246036222 287042259 328048296 382723012 437397728 492072444 574084518 656096592 765446024 861126777 984144888 1148169036 1312193184 1530892048 1722253554 1968289776 2296338072 3061784096 3444507108 3936579552 4592676144 6889014216 9185352288 13778028432 27556056864