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13195126381257 = 3310321122486927
BaseRepresentation
bin1100000000000011101011…
…0100100001101011001001
31201201102221001012201201000
43000000322310201223021
53212142104323200012
644021431332045213
72531213350440402
oct300007264415311
951642831181630
1013195126381257
114228026934007
121591379163809
137493ab398302
1433890cb429a9
1517d37ed1addc
hexc003ad21ac9

13195126381257 has 32 divisors (see below), whose sum is σ = 19831671541760. Its totient is φ = 8670059188560.

The previous prime is 13195126381223. The next prime is 13195126381303. The reversal of 13195126381257 is 75218362159131.

It is a happy number.

13195126381257 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 5 + 1 + 2 + 6 + 381 + 257 = 666.

It is not a de Polignac number, because 13195126381257 - 28 = 13195126381001 is a prime.

It is a super-2 number, since 2×131951263812572 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13195126381757) 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, 10656673 + ... + 11830254.

It is an arithmetic number, because the mean of its divisors is an integer number (619739735680).

Almost surely, 213195126381257 is an apocalyptic number.

It is an amenable number.

13195126381257 is a deficient number, since it is larger than the sum of its proper divisors (6636545160503).

13195126381257 is a wasteful number, since it uses less digits than its factorization.

13195126381257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22487250 (or 22487244 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 13195126381257 in words is "thirteen trillion, one hundred ninety-five billion, one hundred twenty-six million, three hundred eighty-one thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 103 211 309 633 927 1899 2781 5697 21733 65199 195597 586791 22486927 67460781 202382343 607147029 2316153481 4744741597 6948460443 14234224791 20845381329 42702674373 62536143987 128108023119 488708384491 1466125153473 4398375460419 13195126381257