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13079177569 = 129725933889
BaseRepresentation
bin11000010111001010…
…00110100101100001
31020202111210001200001
430023211012211201
5203241232140234
610001500100001
7642054114013
oct141345064541
936674701601
1013079177569
115601944767
122650234601
131305904933
148c109a1b3
15518391d14
hex30b946961

13079177569 has 8 divisors (see below), whose sum is σ = 13097676680. Its totient is φ = 13060694016.

The previous prime is 13079177563. The next prime is 13079177581. The reversal of 13079177569 is 96577197031.

It can be written as a sum of positive squares in 4 ways, for example, as 8361273600 + 4717903969 = 91440^2 + 68687^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(13079177569) divides (13079177569-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 13079177569 - 23 = 13079177561 is a prime.

It is a super-2 number, since 2×130791775692 (a number of 21 digits) contains 22 as substring.

It is a deceptive number, since it divides R13079177568.

It is not an unprimeable number, because it can be changed into a prime (13079177561) by changing a digit.

It is a Zeisel number, with parameters (1, 1296).

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3361177 + ... + 3365065.

It is an arithmetic number, because the mean of its divisors is an integer number (1637209585).

It is a Poulet number, since it divides 213079177568-1.

Almost surely, 213079177569 is an apocalyptic number.

It is an amenable number.

13079177569 is a deficient number, since it is larger than the sum of its proper divisors (18499111).

13079177569 is a wasteful number, since it uses less digits than its factorization.

13079177569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779.

The product of its (nonzero) digits is 2500470, while the sum is 55.

The spelling of 13079177569 in words is "thirteen billion, seventy-nine million, one hundred seventy-seven thousand, five hundred sixty-nine".

Divisors: 1 1297 2593 3889 3363121 5044033 10084177 13079177569