Base | Representation |
---|---|
bin | 10011110110001001… |
… | …10000111101100100 |
3 | 1000111112211222012001 |
4 | 21323010300331210 |
5 | 133310111000114 |
6 | 4521132535044 |
7 | 525015101200 |
oct | 117304607544 |
9 | 30445758161 |
10 | 10654781284 |
11 | 4578389974 |
12 | 2094321484 |
13 | 100a556814 |
14 | 7310c9b00 |
15 | 4255ec374 |
hex | 27b130f64 |
10654781284 has 81 divisors (see below), whose sum is σ = 22211176491. Its totient is φ = 4459190400.
The previous prime is 10654781261. The next prime is 10654781299. The reversal of 10654781284 is 48218745601.
The square root of 10654781284 is 103222.
It is a perfect power (a square), and thus also a powerful number.
10654781284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 3942584100 + 6712197184 = 62790^2 + 81928^2 .
It is a super-2 number, since 2×106547812842 (a number of 21 digits) contains 22 as substring.
It is an unprimeable number.
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 26 ways as a sum of consecutive naturals, for example, 105492834 + ... + 105492934.
Almost surely, 210654781284 is an apocalyptic number.
10654781284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
10654781284 is the 103222-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10654781284
10654781284 is an abundant number, since it is smaller than the sum of its proper divisors (11556395207).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10654781284 is an equidigital number, since it uses as much as digits as its factorization.
10654781284 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 366 (or 183 counting only the distinct ones).
The product of its (nonzero) digits is 430080, while the sum is 46.
The spelling of 10654781284 in words is "ten billion, six hundred fifty-four million, seven hundred eighty-one thousand, two hundred eighty-four".
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