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56294756352 = 21236171109
BaseRepresentation
bin110100011011011011…
…011101000000000000
312101022021111221000000
4310123123131000000
51410242424200402
641510024000000
74032015351042
oct643333350000
9171267457000
1056294756352
1121968a1672a
12aab1000000
135401c1b923
142a20749a92
1516e7302c1c
hexd1b6dd000

56294756352 has 364 divisors, whose sum is σ = 178876204740. Its totient is φ = 17645174784.

The previous prime is 56294756341. The next prime is 56294756429. The reversal of 56294756352 is 25365749265.

It is a happy number.

56294756352 is a `hidden beast` number, since 5 + 6 + 29 + 4 + 7 + 563 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18166726656 + 38128029696 = 134784^2 + 195264^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 50761174 + ... + 50762282.

Almost surely, 256294756352 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 56294756352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89438102370).

56294756352 is an abundant number, since it is smaller than the sum of its proper divisors (122581448388).

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

56294756352 is an equidigital number, since it uses as much as digits as its factorization.

56294756352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1131 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 54.

The spelling of 56294756352 in words is "fifty-six billion, two hundred ninety-four million, seven hundred fifty-six thousand, three hundred fifty-two".