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55004582304 = 2533721925961
BaseRepresentation
bin110011001110100001…
…110101000110100000
312020222100211021221000
4303032201311012200
51400122133113204
641134015032000
73655031143500
oct631641650640
9166870737830
1055004582304
112136671a891
12a7b0b0b600
135257844229
14293b265a00
15166de04039
hexcce8751a0

55004582304 has 864 divisors, whose sum is σ = 203583844800. Its totient is φ = 14396175360.

The previous prime is 55004582291. The next prime is 55004582309. The reversal of 55004582304 is 40328540055.

55004582304 is a `hidden beast` number, since 5 + 500 + 45 + 82 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55004582309) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 901714434 + ... + 901714494.

It is an arithmetic number, because the mean of its divisors is an integer number (235629450).

Almost surely, 255004582304 is an apocalyptic number.

55004582304 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 55004582304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101791922400).

55004582304 is an abundant number, since it is smaller than the sum of its proper divisors (148579262496).

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

55004582304 is a wasteful number, since it uses less digits than its factorization.

55004582304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 55004582304 in words is "fifty-five billion, four million, five hundred eighty-two thousand, three hundred four".