Search a number
-
+
27044938368 = 27347537989
BaseRepresentation
bin11001001100000000…
…010000001010000000
32120210210211012220000
4121030000100022000
5420342001011433
620231350520000
71645125116550
oct311400201200
976723735800
1027044938368
1110519187538
1252a9366000
1327200b6116
141447bbd160
15a844b0113
hex64c010280

27044938368 has 640 divisors, whose sum is σ = 95971392000. Its totient is φ = 7401259008.

The previous prime is 27044938337. The next prime is 27044938411. The reversal of 27044938368 is 86383944072.

27044938368 is a `hidden beast` number, since 2 + 70 + 4 + 493 + 83 + 6 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 303875668 + ... + 303875756.

It is an arithmetic number, because the mean of its divisors is an integer number (149955300).

Almost surely, 227044938368 is an apocalyptic number.

27044938368 is a gapful number since it is divisible by the number (28) 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 27044938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47985696000).

27044938368 is an abundant number, since it is smaller than the sum of its proper divisors (68926453632).

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

27044938368 is an equidigital number, since it uses as much as digits as its factorization.

27044938368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 27044938368 in words is "twenty-seven billion, forty-four million, nine hundred thirty-eight thousand, three hundred sixty-eight".