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27426189120 = 2635112236107
BaseRepresentation
bin11001100010101110…
…100110111101000000
32121210101012202121020
4121202232212331000
5422132101022440
620333250225440
71660434522021
oct314256467500
977711182536
1027426189120
11106a4406900
125394b85280
132781091695
1414826a2c48
15aa7bbd3d0
hex662ba6f40

27426189120 has 168 divisors, whose sum is σ = 95714405472. Its totient is φ = 6648744960.

The previous prime is 27426189071. The next prime is 27426189137. The reversal of 27426189120 is 2198162472.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1894 + ... + 234213.

It is an arithmetic number, because the mean of its divisors is an integer number (569728604).

Almost surely, 227426189120 is an apocalyptic number.

27426189120 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 27426189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47857202736).

27426189120 is an abundant number, since it is smaller than the sum of its proper divisors (68288216352).

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

27426189120 is a wasteful number, since it uses less digits than its factorization.

27426189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236149 (or 236128 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 27426189120 in words is "twenty-seven billion, four hundred twenty-six million, one hundred eighty-nine thousand, one hundred twenty".