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45024731136 = 2133272112103
BaseRepresentation
bin101001111011101011…
…101110000000000000
311022012211222022210200
4221323223232000000
51214202312344021
632403432125200
73152516620500
oct517353560000
9138184868720
1045024731136
1118105317a00
128886836800
13432708cb58
142271a69a00
151287bc6126
hexa7baee000

45024731136 has 756 divisors, whose sum is σ = 167917755096. Its totient is φ = 11581194240.

The previous prime is 45024731099. The next prime is 45024731179. The reversal of 45024731136 is 63113742054.

45024731136 is a `hidden beast` number, since 4 + 50 + 2 + 473 + 1 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45024731136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 437133261 + ... + 437133363.

Almost surely, 245024731136 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 45024731136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83958877548).

45024731136 is an abundant number, since it is smaller than the sum of its proper divisors (122893023960).

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

45024731136 is a wasteful number, since it uses less digits than its factorization.

45024731136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 45024731136 in words is "forty-five billion, twenty-four million, seven hundred thirty-one thousand, one hundred thirty-six".