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44079955920 = 2433571113192937
BaseRepresentation
bin101001000011010111…
…101011111111010000
311012210000012202212000
4221003113223333100
51210233432042140
632130002234000
73120225305010
oct510327537720
9135700182760
1044079955920
111776aa93340
128662355900
13420641a270
1421c23b5c40
15122eca2a30
hexa435ebfd0

44079955920 has 2560 divisors, whose sum is σ = 227985408000. Its totient is φ = 7524679680.

The previous prime is 44079955889. The next prime is 44079955943. The reversal of 44079955920 is 2955997044.

44079955920 is a `hidden beast` number, since 4 + 40 + 7 + 9 + 9 + 5 + 592 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1191350142 + ... + 1191350178.

It is an arithmetic number, because the mean of its divisors is an integer number (89056800).

Almost surely, 244079955920 is an apocalyptic number.

44079955920 is a gapful number since it is divisible by the number (40) 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 44079955920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113992704000).

44079955920 is an abundant number, since it is smaller than the sum of its proper divisors (183905452080).

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

44079955920 is a wasteful number, since it uses less digits than its factorization.

44079955920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

It can be divided in two parts, 44079 and 955920, that added together give a palindrome (999999).

The spelling of 44079955920 in words is "forty-four billion, seventy-nine million, nine hundred fifty-five thousand, nine hundred twenty".