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6823113642 = 2321761365537
BaseRepresentation
bin1100101101011000…
…00111001110101010
3122121111220002022200
412112230013032222
5102433204114032
63045015001030
7331040336412
oct62654071652
918544802280
106823113642
1129915192a4
1213a5069176
13849782367
1448a273642
1529e02847c
hex196b073aa

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".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 3111 6222 9333 18666 365537 731074 1096611 2193222 3289833 6214129 6579666 12428258 18642387 22297757 37284774 44595514 55927161 66893271 111854322 133786542 200679813 379061869 401359626 758123738 1137185607 2274371214 3411556821 6823113642