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6820642569 = 3131271399907
BaseRepresentation
bin1100101101000101…
…01011111100001001
3122121100020112122110
412112202223330021
5102432041030234
63044450012533
7331010335206
oct62642537411
918540215573
106820642569
112990090794
1213a4277149
138490c86a0
14489bcccad
1529dbdb1e9
hex1968abf09

6820642569 has 32 divisors (see below), whose sum is σ = 9942876160. Its totient is φ = 4133892672.

The previous prime is 6820642529. The next prime is 6820642589. The reversal of 6820642569 is 9652460286.

It is a happy number.

It is not a de Polignac number, because 6820642569 - 221 = 6818545417 is a prime.

It is a super-2 number, since 2×68206425692 = 93042330108109839522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6820642529) 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 31 ways as a sum of consecutive naturals, for example, 683514 + ... + 693420.

It is an arithmetic number, because the mean of its divisors is an integer number (310714880).

Almost surely, 26820642569 is an apocalyptic number.

It is an amenable number.

6820642569 is a deficient number, since it is larger than the sum of its proper divisors (3122233591).

6820642569 is a wasteful number, since it uses less digits than its factorization.

6820642569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189.

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 6820642569 is about 82587.1816264485. The cubic root of 6820642569 is about 1896.4516014983.

The spelling of 6820642569 in words is "six billion, eight hundred twenty million, six hundred forty-two thousand, five hundred sixty-nine".

Divisors: 1 3 13 39 127 139 381 417 1651 1807 4953 5421 9907 17653 29721 52959 128791 229489 386373 688467 1258189 1377073 3774567 4131219 16356457 17901949 49069371 53705847 174888271 524664813 2273547523 6820642569