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55242948096 = 2932721979163
BaseRepresentation
bin110011011100101111…
…000111111000000000
312021120222100112022200
4303130233013320000
51401114143314341
641213412033200
73663654211500
oct633457077000
9167528315280
1055242948096
1121479227606
12a858902800
13529504228b
142960b93a00
151684cdadb6
hexcdcbc7e00

55242948096 has 720 divisors, whose sum is σ = 198910483200. Its totient is φ = 14673125376.

The previous prime is 55242948083. The next prime is 55242948121. The reversal of 55242948096 is 69084924255.

55242948096 is a `hidden beast` number, since 5 + 52 + 4 + 29 + 480 + 96 = 666.

55242948096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 338913711 + ... + 338913873.

It is an arithmetic number, because the mean of its divisors is an integer number (276264560).

Almost surely, 255242948096 is an apocalyptic number.

55242948096 is a gapful number since it is divisible by the number (56) 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 55242948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99455241600).

55242948096 is an abundant number, since it is smaller than the sum of its proper divisors (143667535104).

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

55242948096 is a wasteful number, since it uses less digits than its factorization.

55242948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 55242948096 in words is "fifty-five billion, two hundred forty-two million, nine hundred forty-eight thousand, ninety-six".