Base | Representation |
---|---|
bin | 110101000001010000… |
… | …001000111100000000 |
3 | 12102221111120100021010 |
4 | 311001100020330000 |
5 | 1413042401343200 |
6 | 42053013000520 |
7 | 4053522163605 |
oct | 650120107400 |
9 | 172844510233 |
10 | 56929324800 |
11 | 22164135367 |
12 | b049623140 |
13 | 54a352ba0a |
14 | 2a80b306ac |
15 | 1732d9d150 |
hex | d41408f00 |
56929324800 has 432 divisors, whose sum is σ = 194783977472. Its totient is φ = 14631321600.
The previous prime is 56929324729. The next prime is 56929324819. The reversal of 56929324800 is 842392965.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 56929324800.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90220485 + ... + 90221115.
Almost surely, 256929324800 is an apocalyptic number.
56929324800 is a gapful number since it is divisible by the number (50) 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 56929324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97391988736).
56929324800 is an abundant number, since it is smaller than the sum of its proper divisors (137854652672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56929324800 is a wasteful number, since it uses less digits than its factorization.
56929324800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 824 (or 805 counting only the distinct ones).
The product of its (nonzero) digits is 933120, while the sum is 48.
The spelling of 56929324800 in words is "fifty-six billion, nine hundred twenty-nine million, three hundred twenty-four thousand, eight hundred".
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