| Base | Representation |
|---|---|
| bin | 110100110000110100… |
| … | …000001111000010000 |
| 3 | 12102020021121000202100 |
| 4 | 310300310001320100 |
| 5 | 1412011300123100 |
| 6 | 42005401320400 |
| 7 | 4043632656261 |
| oct | 646064017020 |
| 9 | 172207530670 |
| 10 | 56653520400 |
| 11 | 22032487444 |
| 12 | ab91196100 |
| 13 | 545b352c49 |
| 14 | 2a56258968 |
| 15 | 1718a6d400 |
| hex | d30d01e10 |
56653520400 has 135 divisors (see below), whose sum is σ = 196653025101. Its totient is φ = 15103797120.
The previous prime is 56653520393. The next prime is 56653520411. The reversal of 56653520400 is 402535665.
It is a happy number.
The square root of 56653520400 is 238020.
It is a perfect power (a square), and thus also a powerful number.
56653520400 is a `hidden beast` number, since 5 + 66 + 535 + 20 + 40 + 0 = 666.
It can be written as a sum of positive squares in only one way, i.e., 20395267344 + 36258253056 = 142812^2 + 190416^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 26 ways as a sum of consecutive naturals, for example, 14279217 + ... + 14283183.
Almost surely, 256653520400 is an apocalyptic number.
56653520400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
56653520400 is the 238020-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 56653520400
56653520400 is an abundant number, since it is smaller than the sum of its proper divisors (139999504701).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
56653520400 is an equidigital number, since it uses as much as digits as its factorization.
56653520400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7958 (or 3977 counting only the distinct ones).
The product of its (nonzero) digits is 108000, while the sum is 36.
Multiplying 56653520400 by its sum of digits (36), we get a square (2039526734400 = 14281202).
56653520400 divided by its sum of digits (36) gives a square (1573708900 = 396702).
The spelling of 56653520400 in words is "fifty-six billion, six hundred fifty-three million, five hundred twenty thousand, four hundred".
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