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45044685504 = 26327213293419
BaseRepresentation
bin101001111100110111…
…110101101011000000
311022021020112010001100
4221330313311223000
51214222414414004
632405423534400
73153151336500
oct517467655300
9138236463040
1045044685504
1118115606a15
12889145a400
13432b258580
142274581a00
151289818739
hexa7cdf5ac0

45044685504 has 504 divisors, whose sum is σ = 162684653040. Its totient is φ = 11811115008.

The previous prime is 45044685503. The next prime is 45044685523. The reversal of 45044685504 is 40558644054.

It is a happy number.

45044685504 is a `hidden beast` number, since 4 + 50 + 4 + 46 + 8 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 45044685504.

It is not an unprimeable number, because it can be changed into a prime (45044685503) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107505007 + ... + 107505425.

It is an arithmetic number, because the mean of its divisors is an integer number (322787010).

Almost surely, 245044685504 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 45044685504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81342326520).

45044685504 is an abundant number, since it is smaller than the sum of its proper divisors (117639967536).

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

45044685504 is a wasteful number, since it uses less digits than its factorization.

45044685504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 45044685504 in words is "forty-five billion, forty-four million, six hundred eighty-five thousand, five hundred four".