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44804745216 = 2113371117619
BaseRepresentation
bin101001101110100100…
…100010100000000000
311021122112000212212000
4221232210202200000
51213230003321331
632325533104000
73144206023230
oct515644424000
9137575025760
1044804745216
1118002124260
128825028000
1342c062897a
142250763cc0
1512737200e6
hexa6e922800

44804745216 has 768 divisors, whose sum is σ = 175488768000. Its totient is φ = 10935336960.

The previous prime is 44804745187. The next prime is 44804745277. The reversal of 44804745216 is 61254740844.

44804745216 is a `hidden beast` number, since 4 + 4 + 80 + 47 + 4 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72382155 + ... + 72382773.

It is an arithmetic number, because the mean of its divisors is an integer number (228501000).

Almost surely, 244804745216 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 44804745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87744384000).

44804745216 is an abundant number, since it is smaller than the sum of its proper divisors (130684022784).

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

44804745216 is a wasteful number, since it uses less digits than its factorization.

44804745216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 44804745216 in words is "forty-four billion, eight hundred four million, seven hundred forty-five thousand, two hundred sixteen".