Search a number
-
+
27066422880 = 25325712721143
BaseRepresentation
bin11001001101010010…
…001101011001100000
32120212022020202002200
4121031102031121200
5420413001013010
620233435213200
71645505540610
oct311522153140
976768222080
1027066422880
111052a321132
1252b45a7200
132724699153
14144a9b2a40
15a86305cc0
hex64d48d660

27066422880 has 288 divisors, whose sum is σ = 106395254784. Its totient is φ = 6137607168.

The previous prime is 27066422863. The next prime is 27066422897. The reversal of 27066422880 is 8822466072.

27066422880 is a `hidden beast` number, since 270 + 66 + 42 + 288 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27066422863) and next prime (27066422897).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1269589 + ... + 1290731.

It is an arithmetic number, because the mean of its divisors is an integer number (369427968).

Almost surely, 227066422880 is an apocalyptic number.

27066422880 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 27066422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53197627392).

27066422880 is an abundant number, since it is smaller than the sum of its proper divisors (79328831904).

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

27066422880 is a wasteful number, since it uses less digits than its factorization.

27066422880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21298 (or 21287 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 27066422880 in words is "twenty-seven billion, sixty-six million, four hundred twenty-two thousand, eight hundred eighty".