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56679098112 = 28347313613
BaseRepresentation
bin110100110010010101…
…100110011100000000
312102022001201111210000
4310302111212130000
51412034322114422
642012113440000
74044363246000
oct646225463400
9172261644700
1056679098112
112204596734a
12ab99870000
13546373a0a0
142a597d6000
15171ae21cac
hexd32566700

56679098112 has 720 divisors, whose sum is σ = 212599710400. Its totient is φ = 14923948032.

The previous prime is 56679098039. The next prime is 56679098117. The reversal of 56679098112 is 21189097665.

56679098112 is a `hidden beast` number, since 566 + 79 + 0 + 9 + 8 + 1 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56679098117) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92461518 + ... + 92462130.

Almost surely, 256679098112 is an apocalyptic number.

56679098112 is a gapful number since it is divisible by the number (52) 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 56679098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106299855200).

56679098112 is an abundant number, since it is smaller than the sum of its proper divisors (155920612288).

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

56679098112 is an equidigital number, since it uses as much as digits as its factorization.

56679098112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 56679098112 in words is "fifty-six billion, six hundred seventy-nine million, ninety-eight thousand, one hundred twelve".