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55676917296 = 243371113199647
BaseRepresentation
bin110011110110100110…
…100101011000110000
312022201012221110011000
4303312212211120300
51403011242323141
641324433322000
74010503663020
oct636646453060
9168635843130
1055676917296
1121681194040
12a95a106300
135333c183a0
1429a267ba80
1516ace5e5b6
hexcf69a5630

55676917296 has 640 divisors, whose sum is σ = 215986176000. Its totient is φ = 13261501440.

The previous prime is 55676917253. The next prime is 55676917301. The reversal of 55676917296 is 69271967655.

55676917296 is a `hidden beast` number, since 5 + 567 + 69 + 1 + 7 + 2 + 9 + 6 = 666.

55676917296 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 (63).

Its product of digits (42865200) is a multiple of the sum of its prime divisors (882).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86053645 + ... + 86054291.

It is an arithmetic number, because the mean of its divisors is an integer number (337478400).

Almost surely, 255676917296 is an apocalyptic number.

55676917296 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 55676917296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088000).

55676917296 is an abundant number, since it is smaller than the sum of its proper divisors (160309258704).

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

55676917296 is a wasteful number, since it uses less digits than its factorization.

55676917296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 882 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 63.

The spelling of 55676917296 in words is "fifty-five billion, six hundred seventy-six million, nine hundred seventeen thousand, two hundred ninety-six".