Base | Representation |
---|---|
bin | 1100101101011000… |
… | …00111001110101010 |
3 | 122121111220002022200 |
4 | 12112230013032222 |
5 | 102433204114032 |
6 | 3045015001030 |
7 | 331040336412 |
oct | 62654071652 |
9 | 18544802280 |
10 | 6823113642 |
11 | 29915192a4 |
12 | 13a5069176 |
13 | 849782367 |
14 | 48a273642 |
15 | 29e02847c |
hex | 196b073aa |
6823113642 has 48 divisors (see below), whose sum is σ = 15909675912. Its totient is φ = 2105487360.
The previous prime is 6823113637. The next prime is 6823113643. The reversal of 6823113642 is 2463113286.
6823113642 is a `hidden beast` number, since 6 + 8 + 2 + 3 + 1 + 1 + 3 + 642 = 666.
6823113642 is digitally balanced in base 5, 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 2428616961 + 4394496681 = 49281^2 + 66291^2 .
It is a junction number, because it is equal to n+sod(n) for n = 6823113597 and 6823113606.
It is not an unprimeable number, because it can be changed into a prime (6823113643) 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 23 ways as a sum of consecutive naturals, for example, 164103 + ... + 201434.
Almost surely, 26823113642 is an apocalyptic number.
6823113642 is an abundant number, since it is smaller than the sum of its proper divisors (9086562270).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6823113642 is a wasteful number, since it uses less digits than its factorization.
6823113642 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 365623 (or 365620 counting only the distinct ones).
The product of its digits is 41472, while the sum is 36.
The square root of 6823113642 is about 82602.1406623339. The cubic root of 6823113642 is about 1896.6805977392.
The spelling of 6823113642 in words is "six billion, eight hundred twenty-three million, one hundred thirteen thousand, six hundred forty-two".
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