Search a number
-
+
27044523744 = 253737311251
BaseRepresentation
bin11001001011111110…
…101010111011100000
32120210210001011010120
4121023332222323200
5420341344224434
620231334000240
71645121442000
oct311376527340
976723034116
1027044523744
1110518a23a77
1252a91a6080
13271cc9c494
141447b12000
15a8442c349
hex64bfaaee0

27044523744 has 192 divisors, whose sum is σ = 83930918400. Its totient is φ = 7620480000.

The previous prime is 27044523739. The next prime is 27044523787. The reversal of 27044523744 is 44732544072.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27044523696 and 27044523705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2398119 + ... + 2409369.

It is an arithmetic number, because the mean of its divisors is an integer number (437140200).

Almost surely, 227044523744 is an apocalyptic number.

27044523744 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 27044523744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41965459200).

27044523744 is an abundant number, since it is smaller than the sum of its proper divisors (56886394656).

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

27044523744 is a wasteful number, since it uses less digits than its factorization.

27044523744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11358 (or 11336 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 42.

The spelling of 27044523744 in words is "twenty-seven billion, forty-four million, five hundred twenty-three thousand, seven hundred forty-four".