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44916186944 = 264728195297
BaseRepresentation
bin101001110101001101…
…101001111101000000
311021221021201201011102
4221311031221331000
51213442020440234
632344553433532
73150031201226
oct516515517500
9137837651142
1044916186944
111805a020062
12885640b8a8
13430a747315
142261492b16
15127d3d4c7e
hexa75369f40

44916186944 has 56 divisors (see below), whose sum is σ = 91076434560. Its totient is φ = 21968316416.

The previous prime is 44916186937. The next prime is 44916187007. The reversal of 44916186944 is 44968161944.

44916186944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 44916186944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8476904 + ... + 8482200.

Almost surely, 244916186944 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 44916186944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45538217280).

44916186944 is an abundant number, since it is smaller than the sum of its proper divisors (46160247616).

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

44916186944 is a wasteful number, since it uses less digits than its factorization.

44916186944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8175 (or 8165 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The spelling of 44916186944 in words is "forty-four billion, nine hundred sixteen million, one hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 2819 3008 5297 5638 10594 11276 21188 22552 42376 45104 84752 90208 132493 169504 180416 248959 264986 339008 497918 529972 995836 1059944 1991672 2119888 3983344 4239776 7966688 8479552 14932243 15933376 29864486 59728972 119457944 238915888 477831776 701815421 955663552 1403630842 2807261684 5614523368 11229046736 22458093472 44916186944