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54329844096 = 273411331127
BaseRepresentation
bin110010100110010011…
…111010000110000000
312012020100012001010000
4302212103322012000
51342231420002341
640543033040000
73632226024633
oct624623720600
9165210161100
1054329844096
112104a865000
12a642b56000
13517ab0b258
1428b57c5c1a
15162ea718b6
hexca64fa180

54329844096 has 640 divisors, whose sum is σ = 185023365120. Its totient is φ = 15807052800.

The previous prime is 54329844089. The next prime is 54329844097. The reversal of 54329844096 is 69044892345.

54329844096 is a `hidden beast` number, since 5 + 432 + 9 + 84 + 40 + 96 = 666.

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 (54329844097) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 427793985 + ... + 427794111.

It is an arithmetic number, because the mean of its divisors is an integer number (289099008).

Almost surely, 254329844096 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 54329844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92511682560).

54329844096 is an abundant number, since it is smaller than the sum of its proper divisors (130693521024).

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

54329844096 is a wasteful number, since it uses less digits than its factorization.

54329844096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 54329844096 in words is "fifty-four billion, three hundred twenty-nine million, eight hundred forty-four thousand, ninety-six".