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27012732412104 = 2332375176839057
BaseRepresentation
bin1100010010001011001000…
…10100011110000011001000
310112122101120202201000220200
412021011210110132003020
512020034033444141404
6133241251123252200
75455414456013115
oct611054424360310
9115571522630820
1027012732412104
11867504325400a
1230432b951a060
13120c39c72110a
146955cd48590c
1531c9e327b839
hex18916451e0c8

27012732412104 has 24 divisors (see below), whose sum is σ = 73159483616310. Its totient is φ = 9004244137344.

The previous prime is 27012732412091. The next prime is 27012732412111. The reversal of 27012732412104 is 40121423721072.

27012732412104 is a `hidden beast` number, since 2 + 70 + 1 + 2 + 73 + 2 + 412 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18955661516100 + 8057070896004 = 4353810^2 + 2838498^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

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 5 ways as a sum of consecutive naturals, for example, 187588419457 + ... + 187588419600.

Almost surely, 227012732412104 is an apocalyptic number.

27012732412104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27012732412104 is an abundant number, since it is smaller than the sum of its proper divisors (46146751204206).

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

27012732412104 is a wasteful number, since it uses less digits than its factorization.

27012732412104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375176839069 (or 375176839062 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 27012732412104 in words is "twenty-seven trillion, twelve billion, seven hundred thirty-two million, four hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 375176839057 750353678114 1125530517171 1500707356228 2251061034342 3001414712456 3376591551513 4502122068684 6753183103026 9004244137368 13506366206052 27012732412104