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44491981248 = 26321113727743
BaseRepresentation
bin101001011011111011…
…011100000111000000
311020211201111211100100
4221123323130013000
51212104421344443
632234521322400
73133360413021
oct513373340700
9136751454310
1044491981248
1117961622040
128758336400
1342708ac230
142220dcac48
15125603e3d3
hexa5bedc1c0

44491981248 has 336 divisors, whose sum is σ = 150231384576. Its totient is φ = 12411463680.

The previous prime is 44491981217. The next prime is 44491981291. The reversal of 44491981248 is 84218919444.

44491981248 is a `hidden beast` number, since 4 + 449 + 198 + 1 + 2 + 4 + 8 = 666.

44491981248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44491981194 and 44491981203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59881165 + ... + 59881907.

It is an arithmetic number, because the mean of its divisors is an integer number (447117216).

Almost surely, 244491981248 is an apocalyptic number.

44491981248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44491981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75115692288).

44491981248 is an abundant number, since it is smaller than the sum of its proper divisors (105739403328).

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

44491981248 is a wasteful number, since it uses less digits than its factorization.

44491981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1499 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 44491981248 in words is "forty-four billion, four hundred ninety-one million, nine hundred eighty-one thousand, two hundred forty-eight".