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55042894800 = 243252211233311
BaseRepresentation
bin110011010000110011…
…111110101111010000
312021002000220202210100
4303100303332233100
51400211440113200
641141504132400
73656004612645
oct632063765720
9167060822710
1055042894800
1121386308603
12a801907100
13526276994a
142942399dcc
151672470d00
hexcd0cfebd0

55042894800 has 360 divisors, whose sum is σ = 193362856128. Its totient is φ = 14499072000.

The previous prime is 55042894793. The next prime is 55042894813. The reversal of 55042894800 is 849824055.

55042894800 is a `hidden beast` number, since 5 + 50 + 42 + 89 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 176986645 + ... + 176986955.

Almost surely, 255042894800 is an apocalyptic number.

55042894800 is a gapful number since it is divisible by the number (50) 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 55042894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96681428064).

55042894800 is an abundant number, since it is smaller than the sum of its proper divisors (138319961328).

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

55042894800 is a wasteful number, since it uses less digits than its factorization.

55042894800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 55042894800 in words is "fifty-five billion, forty-two million, eight hundred ninety-four thousand, eight hundred".