Search a number
-
+
55676865024 = 293411312127
BaseRepresentation
bin110011110110100110…
…011000101000000000
312022201012211210110000
4303312212120220000
51403011234140044
641324432240000
74010503354434
oct636646305000
9168635753400
1055676865024
1121681158840
12a95a0a0000
135333bca661
1429a26669c4
1516ace4dd69
hexcf6998a00

55676865024 has 600 divisors, whose sum is σ = 188799773184. Its totient is φ = 16198963200.

The previous prime is 55676865007. The next prime is 55676865059. The reversal of 55676865024 is 42056867655.

55676865024 is a `hidden beast` number, since 5 + 56 + 7 + 6 + 86 + 502 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 438400449 + ... + 438400575.

Almost surely, 255676865024 is an apocalyptic number.

55676865024 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 55676865024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94399886592).

55676865024 is an abundant number, since it is smaller than the sum of its proper divisors (133122908160).

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

55676865024 is a wasteful number, since it uses less digits than its factorization.

55676865024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 55676865024 in words is "fifty-five billion, six hundred seventy-six million, eight hundred sixty-five thousand, twenty-four".