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54706078944 = 25331131185681
BaseRepresentation
bin110010111100101111…
…001000010011100000
312020012120010202022000
4302330233020103200
51344014224011234
641044233044000
73644444666346
oct627457102340
9166176122260
1054706078944
11212231788a0
12a728b56600
13520aa4b71a
14290d761996
151652add899
hexcbcbc84e0

54706078944 has 192 divisors, whose sum is σ = 179680757760. Its totient is φ = 16042752000.

The previous prime is 54706078891. The next prime is 54706078949. The reversal of 54706078944 is 44987060745.

54706078944 is a `hidden beast` number, since 5 + 470 + 60 + 78 + 9 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54706078949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201784 + ... + 387464.

It is an arithmetic number, because the mean of its divisors is an integer number (935837280).

Almost surely, 254706078944 is an apocalyptic number.

54706078944 is a gapful number since it is divisible by the number (54) 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 54706078944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89840378880).

54706078944 is an abundant number, since it is smaller than the sum of its proper divisors (124974678816).

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

54706078944 is a wasteful number, since it uses less digits than its factorization.

54706078944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185742 (or 185728 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 54706078944 in words is "fifty-four billion, seven hundred six million, seventy-eight thousand, nine hundred forty-four".