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27140595300 = 22325273136763
BaseRepresentation
bin11001010001101101…
…001001111001100100
32121001110211002112100
4121101231021321210
5421040443022200
620245045052100
71650366153000
oct312155117144
977043732470
1027140595300
1110568181a55
1253153b7030
132736b68b60
14145679d700
15a8caa7d00
hex651b49e64

27140595300 has 432 divisors, whose sum is σ = 106854966400. Its totient is φ = 5725520640.

The previous prime is 27140595257. The next prime is 27140595329. The reversal of 27140595300 is 359504172.

27140595300 is a `hidden beast` number, since 2 + 71 + 4 + 0 + 59 + 530 + 0 = 666.

It is a super-2 number, since 2×271405953002 (a number of 22 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 4009719 + ... + 4016481.

Almost surely, 227140595300 is an apocalyptic number.

27140595300 is a gapful number since it is divisible by the number (20) 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 27140595300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53427483200).

27140595300 is an abundant number, since it is smaller than the sum of its proper divisors (79714371100).

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

27140595300 is a wasteful number, since it uses less digits than its factorization.

27140595300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 27140595300 in words is "twenty-seven billion, one hundred forty million, five hundred ninety-five thousand, three hundred".