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44944816928 = 2511234072
BaseRepresentation
bin101001110110111010…
…110111101100100000
311022000021121021010012
4221312322313230200
51214021333120203
632351455224052
73150526432454
oct516672675440
9138007537105
1044944816928
11180741a5200
128863b18028
13431365c83b
1422651c6664
151280b8cbd8
hexa76eb7b20

44944816928 has 54 divisors (see below), whose sum is σ = 97289046603. Its totient is φ = 20423465920.

The previous prime is 44944816913. The next prime is 44944816933. The reversal of 44944816928 is 82961844944.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 22472408464 + 22472408464 = 149908^2 + 149908^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=149908.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13190201 + ... + 13193607.

Almost surely, 244944816928 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 44944816928

44944816928 is an abundant number, since it is smaller than the sum of its proper divisors (52344229675).

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

44944816928 is an frugal number, since it uses more digits than its factorization.

44944816928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6846 (or 3420 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 59.

The spelling of 44944816928 in words is "forty-four billion, nine hundred forty-four million, eight hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3407 3872 6814 13628 27256 37477 54512 74954 109024 149908 299816 412247 599632 824494 1199264 1648988 3297976 6595952 11607649 13191904 23215298 46430596 92861192 127684139 185722384 255368278 371444768 510736556 1021473112 1404525529 2042946224 2809051058 4085892448 5618102116 11236204232 22472408464 44944816928