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56344489799040 = 27335611732511231
BaseRepresentation
bin11001100111110101110010…
…10011001010110110000000
321101111110222101000210201000
430303322321103022312000
524341122003342032130
6315500145024212000
714603516661051612
oct1463727123126600
9241443871023630
1056344489799040
1116a536226592a3
12639bb3376a000
132559354ba8541
14dcb133118db2
1567a9b2014260
hex333eb94cad80

56344489799040 has 1024 divisors, whose sum is σ = 204976280678400. Its totient is φ = 14623027200000.

The previous prime is 56344489799027. The next prime is 56344489799099. The reversal of 56344489799040 is 4099798444365.

It is a happy number.

56344489799040 is a `hidden beast` number, since 5 + 6 + 3 + 4 + 448 + 97 + 9 + 90 + 4 + 0 = 666.

56344489799040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 56344489799040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45771315225 + ... + 45771316455.

It is an arithmetic number, because the mean of its divisors is an integer number (200172149100).

Almost surely, 256344489799040 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 56344489799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102488140339200).

56344489799040 is an abundant number, since it is smaller than the sum of its proper divisors (148631790879360).

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

56344489799040 is a wasteful number, since it uses less digits than its factorization.

56344489799040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 56344489799040 in words is "fifty-six trillion, three hundred forty-four billion, four hundred eighty-nine million, seven hundred ninety-nine thousand, forty".