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44840369664 = 293319792161
BaseRepresentation
bin101001110000101100…
…011011111000000000
311021202000001210102000
4221300230123320000
51213313113312124
632333244424000
73145120565466
oct516054337000
9137660053360
1044840369664
1118020246452
128834b48000
1342c7b1ca1c
142255398836
15127690a6c9
hexa70b1be00

44840369664 has 320 divisors, whose sum is σ = 141550464000. Its totient is φ = 13974405120.

The previous prime is 44840369621. The next prime is 44840369681. The reversal of 44840369664 is 46696304844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 44840369664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20748744 + ... + 20750904.

It is an arithmetic number, because the mean of its divisors is an integer number (442345200).

Almost surely, 244840369664 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 44840369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70775232000).

44840369664 is an abundant number, since it is smaller than the sum of its proper divisors (96710094336).

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

44840369664 is a wasteful number, since it uses less digits than its factorization.

44840369664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 44840369664 in words is "forty-four billion, eight hundred forty million, three hundred sixty-nine thousand, six hundred sixty-four".