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56283236352 = 2113271792437
BaseRepresentation
bin110100011010101111…
…100000100000000000
312101021110211122112100
4310122233200200000
51410232002030402
641504533030400
74031515421040
oct643257404000
9171243748470
1056283236352
1121962468572
12aaa9185400
1353cc717265
142a1cdcb720
1516e62c971c
hexd1abe0800

56283236352 has 288 divisors, whose sum is σ = 186893179200. Its totient is φ = 15984525312.

The previous prime is 56283236341. The next prime is 56283236357. The reversal of 56283236352 is 25363238265.

56283236352 is a `hidden beast` number, since 5 + 6 + 2 + 8 + 3 + 2 + 3 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 56283236298 and 56283236307.

It is not an unprimeable number, because it can be changed into a prime (56283236357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23094078 + ... + 23096514.

It is an arithmetic number, because the mean of its divisors is an integer number (648934650).

Almost surely, 256283236352 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 56283236352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93446589600).

56283236352 is an abundant number, since it is smaller than the sum of its proper divisors (130609942848).

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

56283236352 is a wasteful number, since it uses less digits than its factorization.

56283236352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2628 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 56283236352 in words is "fifty-six billion, two hundred eighty-three million, two hundred thirty-six thousand, three hundred fifty-two".