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13172389857965 = 5131922572184293
BaseRepresentation
bin1011111110101110111110…
…0111100100101010101101
31201122021020111102200012202
42333223233213210222231
53211304023300423330
644003151245311245
72526450046252442
oct277535747445255
951567214380182
1013172389857965
114219419742598
121588a92865525
137471c6a89a30
1433779323b9c9
1517c99dc03445
hexbfaef9e4aad

13172389857965 has 48 divisors (see below), whose sum is σ = 18035785455408. Its totient is φ = 9179478392832.

The previous prime is 13172389857943. The next prime is 13172389857971. The reversal of 13172389857965 is 56975898327131.

It can be written as a sum of positive squares in 8 ways, for example, as 715577262724 + 12456812595241 = 845918^2 + 3529421^2 .

It is not a de Polignac number, because 13172389857965 - 238 = 12897511951021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13172389857892 and 13172389857901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4938359 + ... + 7122651.

It is an arithmetic number, because the mean of its divisors is an integer number (375745530321).

Almost surely, 213172389857965 is an apocalyptic number.

It is an amenable number.

13172389857965 is a deficient number, since it is larger than the sum of its proper divisors (4863395597443).

13172389857965 is a wasteful number, since it uses less digits than its factorization.

13172389857965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184606 (or 2184587 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 74.

The spelling of 13172389857965 in words is "thirteen trillion, one hundred seventy-two billion, three hundred eighty-nine million, eight hundred fifty-seven thousand, nine hundred sixty-five".

Divisors: 1 5 13 19 65 95 247 257 361 1235 1285 1805 3341 4693 4883 16705 23465 24415 63479 92777 317395 463885 1206101 2184293 6030505 10921465 28395809 41501567 141979045 207507835 539520371 561363301 788529773 2697601855 2806816505 3942648865 7297722913 10250887049 10665902719 36488614565 51254435245 53329513595 138656735347 202652151661 693283676735 1013260758305 2634477971593 13172389857965