Base | Representation |
---|---|
bin | 11001111011010111… |
… | …100110111000010000 |
3 | 2122212012002200212101 |
4 | 121323113212320100 |
5 | 424003413334104 |
6 | 20442255010144 |
7 | 2003614416100 |
oct | 317327467020 |
9 | 78765080771 |
10 | 27839589904 |
11 | 108967a4a45 |
12 | 548b509954 |
13 | 2818915729 |
14 | 14c1555200 |
15 | ace12c5a4 |
hex | 67b5e6e10 |
27839589904 has 135 divisors (see below), whose sum is σ = 64465324941. Its totient is φ = 11612899200.
The previous prime is 27839589901. The next prime is 27839589907. The reversal of 27839589904 is 40998593872.
The square root of 27839589904 is 166852.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (27839589901) and next prime (27839589907).
It can be written as a sum of positive squares in only one way, i.e., 26747948304 + 1091641600 = 163548^2 + 33040^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (27839589901) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 275639454 + ... + 275639554.
Almost surely, 227839589904 is an apocalyptic number.
27839589904 is the 166852-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 27839589904
27839589904 is an abundant number, since it is smaller than the sum of its proper divisors (36625735037).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
27839589904 is an equidigital number, since it uses as much as digits as its factorization.
27839589904 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 342 (or 169 counting only the distinct ones).
The product of its (nonzero) digits is 39191040, while the sum is 64.
Multiplying 27839589904 by its sum of digits (64), we get a square (1781733753856 = 13348162).
The spelling of 27839589904 in words is "twenty-seven billion, eight hundred thirty-nine million, five hundred eighty-nine thousand, nine hundred four".
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