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44968015872 = 2113213672801
BaseRepresentation
bin101001111000010011…
…010111100000000000
311022001220020220002100
4221320103113200000
51214043303001442
632354044350400
73151230554043
oct517023274000
9138056226070
1044968015872
11180862aa98a
12886b845400
1343183c3020
142268304c5a
151282c2184c
hexa784d7800

44968015872 has 288 divisors, whose sum is σ = 142004575440. Its totient is φ = 13624934400.

The previous prime is 44968015811. The next prime is 44968015903. The reversal of 44968015872 is 27851086944.

It is a happy number.

44968015872 is a `hidden beast` number, since 4 + 496 + 80 + 1 + 5 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16052872 + ... + 16055672.

Almost surely, 244968015872 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 44968015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71002287720).

44968015872 is an abundant number, since it is smaller than the sum of its proper divisors (97036559568).

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

44968015872 is a wasteful number, since it uses less digits than its factorization.

44968015872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 44968015872 in words is "forty-four billion, nine hundred sixty-eight million, fifteen thousand, eight hundred seventy-two".