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13075998957 = 3274317327901
BaseRepresentation
bin11000010110110001…
…11110100011101101
31020202021210120102200
430023120332203231
5203234423431312
610001304012113
7642015104640
oct141330764355
936667716380
1013075998957
11560007360a
12264b161039
131305060bb8
148c08ada57
15517e650dc
hex30b63e8ed

13075998957 has 48 divisors (see below), whose sum is σ = 22216242048. Its totient is φ = 7255785600.

The previous prime is 13075998917. The next prime is 13075998967. The reversal of 13075998957 is 75989957031.

13075998957 is a `hidden beast` number, since 1 + 30 + 7 + 599 + 8 + 9 + 5 + 7 = 666.

It is not a de Polignac number, because 13075998957 - 28 = 13075998701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 13075998894 and 13075998903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13075998917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454707 + ... + 482607.

It is an arithmetic number, because the mean of its divisors is an integer number (462838376).

Almost surely, 213075998957 is an apocalyptic number.

It is an amenable number.

13075998957 is a deficient number, since it is larger than the sum of its proper divisors (9140243091).

13075998957 is a wasteful number, since it uses less digits than its factorization.

13075998957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28130 (or 28127 counting only the distinct ones).

The product of its (nonzero) digits is 21432600, while the sum is 63.

The spelling of 13075998957 in words is "thirteen billion, seventy-five million, nine hundred ninety-eight thousand, nine hundred fifty-seven".

Divisors: 1 3 7 9 21 43 63 129 173 301 387 519 903 1211 1557 2709 3633 7439 10899 22317 27901 52073 66951 83703 156219 195307 251109 468657 585921 1199743 1757763 3599229 4826873 8398201 10797687 14480619 25194603 33788111 43441857 75583809 101364333 207555539 304092999 622666617 1452888773 1867999851 4358666319 13075998957