Base | Representation |
---|---|
bin | 10010110010011010… |
… | …001110100100000000 |
3 | 1221001220020002202100 |
4 | 102302122032210000 |
5 | 312303302322044 |
6 | 13133431150400 |
7 | 1312623266424 |
oct | 226232164400 |
9 | 57056202670 |
10 | 20173089024 |
11 | 8612201400 |
12 | 3aabb15400 |
13 | 1b964cbc8a |
14 | d952a0b84 |
15 | 7d105b869 |
hex | 4b268e900 |
20173089024 has 243 divisors, whose sum is σ = 64170868489. Its totient is φ = 6090332160.
The previous prime is 20173089007. The next prime is 20173089031. The reversal of 20173089024 is 42098037102.
The square root of 20173089024 is 142032.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 1327290624 + 18845798400 = 36432^2 + 137280^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 20173089024.
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, 74992762 + ... + 74993030.
Almost surely, 220173089024 is an apocalyptic number.
20173089024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
20173089024 is the 142032-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 20173089024
20173089024 is an abundant number, since it is smaller than the sum of its proper divisors (43997779465).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20173089024 is an equidigital number, since it uses as much as digits as its factorization.
20173089024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 582 (or 285 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
Multiplying 20173089024 by its sum of digits (36), we get a square (726231204864 = 8521922).
20173089024 divided by its sum of digits (36) gives a square (560363584 = 236722).
The spelling of 20173089024 in words is "twenty billion, one hundred seventy-three million, eighty-nine thousand, twenty-four".
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