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44500275072 = 2735111131151
BaseRepresentation
bin101001011100011011…
…000100111110000000
311020212022010012100000
4221130123010332000
51212114032300242
632235415200000
73133521045201
oct513433047600
9136768105300
1044500275072
1117966277340
12875b076000
134272524316
1422221495a8
151256b2ba4c
hexa5c6c4f80

44500275072 has 384 divisors, whose sum is σ = 146278379520. Its totient is φ = 13353984000.

The previous prime is 44500275019. The next prime is 44500275073. The reversal of 44500275072 is 27057200544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44500275073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38661697 + ... + 38662847.

It is an arithmetic number, because the mean of its divisors is an integer number (380933280).

Almost surely, 244500275072 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 44500275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73139189760).

44500275072 is an abundant number, since it is smaller than the sum of its proper divisors (101778104448).

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

44500275072 is a wasteful number, since it uses less digits than its factorization.

44500275072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 44500275072 in words is "forty-four billion, five hundred million, two hundred seventy-five thousand, seventy-two".