Base | Representation |
---|---|
bin | 1100111100110100001000… |
… | …00000111111000100000000 |
3 | 10201211110022012012121102221 |
4 | 12132122010000333010000 |
5 | 12213040113043221141 |
6 | 140322313123420424 |
7 | 5666312423150200 |
oct | 636320400770400 |
9 | 121743265177387 |
10 | 28477848023296 |
11 | 908a42987a801 |
12 | 323b245824714 |
13 | 12b75ac862129 |
14 | 706499adc400 |
15 | 345b92cd0bd1 |
hex | 19e68403f100 |
28477848023296 has 729 divisors, whose sum is σ = 72124780976703. Its totient is φ = 11188643880960.
The previous prime is 28477848023231. The next prime is 28477848023299. The reversal of 28477848023296 is 69232084877482.
The square root of 28477848023296 is 5336464.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 4 ways, for example, as 1786820358400 + 26691027664896 = 1336720^2 + 5166336^2 .
It is not an unprimeable number, because it can be changed into a prime (28477848023299) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 537317887206 + ... + 537317887258.
Almost surely, 228477848023296 is an apocalyptic number.
28477848023296 is the 5336464-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 28477848023296
28477848023296 is an abundant number, since it is smaller than the sum of its proper divisors (43646932953407).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
28477848023296 is an frugal number, since it uses more digits than its factorization.
28477848023296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 256 (or 122 counting only the distinct ones).
The product of its (nonzero) digits is 520224768, while the sum is 70.
The spelling of 28477848023296 in words is "twenty-eight trillion, four hundred seventy-seven billion, eight hundred forty-eight million, twenty-three thousand, two hundred ninety-six".
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