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54808189920 = 2534511419377
BaseRepresentation
bin110011000010110100…
…101001101111100000
312020110200021112020000
4303002310221233200
51344221344034140
641102321420000
73650124633111
oct630264515740
9166420245200
1054808189920
1121275881330
12a75719a600
135225c51013
14291d142208
15165ba5da30
hexcc2d29be0

54808189920 has 480 divisors, whose sum is σ = 216181205856. Its totient is φ = 12961382400.

The previous prime is 54808189903. The next prime is 54808189921. The reversal of 54808189920 is 2998180845.

54808189920 is a `hidden beast` number, since 5 + 480 + 81 + 89 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (54808189921) 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 79 ways as a sum of consecutive naturals, for example, 5840272 + ... + 5849648.

Almost surely, 254808189920 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 54808189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108090602928).

54808189920 is an abundant number, since it is smaller than the sum of its proper divisors (161373015936).

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

54808189920 is a wasteful number, since it uses less digits than its factorization.

54808189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9456 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 54808189920 in words is "fifty-four billion, eight hundred eight million, one hundred eighty-nine thousand, nine hundred twenty".