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27027285984 = 2533171996847
BaseRepresentation
bin11001001010111100…
…111010011111100000
32120202120121101101000
4121022330322133200
5420322441122414
620225520312000
71644522066066
oct311274723740
976676541330
1027027285984
111050a21aa96
1252a3472600
13271954541a
141445706036
15a82b74b09
hex64af3a7e0

27027285984 has 192 divisors, whose sum is σ = 87860505600. Its totient is φ = 8032794624.

The previous prime is 27027285979. The next prime is 27027285997. The reversal of 27027285984 is 48958272072.

27027285984 is a `hidden beast` number, since 2 + 7 + 0 + 27 + 28 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 27027285984.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 230649 + ... + 327495.

It is an arithmetic number, because the mean of its divisors is an integer number (457606800).

Almost surely, 227027285984 is an apocalyptic number.

27027285984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27027285984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43930252800).

27027285984 is an abundant number, since it is smaller than the sum of its proper divisors (60833219616).

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

27027285984 is a wasteful number, since it uses less digits than its factorization.

27027285984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96902 (or 96888 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 27027285984 in words is "twenty-seven billion, twenty-seven million, two hundred eighty-five thousand, nine hundred eighty-four".