Search a number
-
+
44688074112 = 2733112351109
BaseRepresentation
bin101001100111100111…
…011110010110000000
311021100101111101012000
4221213213132112000
51213010121332422
632310204304000
73141261235233
oct514747362600
9137311441160
1044688074112
1117a52286560
1287b1b42000
1342a23c9006
14223d07341a
151268375cac
hexa679de580

44688074112 has 256 divisors, whose sum is σ = 150140736000. Its totient is φ = 12952811520.

The previous prime is 44688074083. The next prime is 44688074153. The reversal of 44688074112 is 21147088644.

44688074112 is a `hidden beast` number, since 4 + 468 + 8 + 0 + 74 + 112 = 666.

44688074112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 848814 + ... + 899922.

It is an arithmetic number, because the mean of its divisors is an integer number (586487250).

Almost surely, 244688074112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44688074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75070368000).

44688074112 is an abundant number, since it is smaller than the sum of its proper divisors (105452661888).

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

44688074112 is a wasteful number, since it uses less digits than its factorization.

44688074112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51166 (or 51148 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 44688074112 in words is "forty-four billion, six hundred eighty-eight million, seventy-four thousand, one hundred twelve".