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55227858048 = 2735113141127
BaseRepresentation
bin110011011011110101…
…100011110010000000
312021112220221212200000
4303123311203302000
51401101312424143
641212112400000
73663412022256
oct633365436200
9167486855600
1055227858048
11214707601a0
12a853846000
135291b8a95c
14295cb865d6
151683809bd3
hexcdbd63c80

55227858048 has 768 divisors, whose sum is σ = 191616122880. Its totient is φ = 15676416000.

The previous prime is 55227858047. The next prime is 55227858131. The reversal of 55227858048 is 84085872255.

55227858048 is a `hidden beast` number, since 5 + 52 + 2 + 7 + 8 + 580 + 4 + 8 = 666.

55227858048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55227857985 and 55227858003.

It is not an unprimeable number, because it can be changed into a prime (55227858047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434864961 + ... + 434865087.

It is an arithmetic number, because the mean of its divisors is an integer number (249500160).

Almost surely, 255227858048 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 55227858048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95808061440).

55227858048 is an abundant number, since it is smaller than the sum of its proper divisors (136388264832).

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

55227858048 is a wasteful number, since it uses less digits than its factorization.

55227858048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 55227858048 in words is "fifty-five billion, two hundred twenty-seven million, eight hundred fifty-eight thousand, forty-eight".