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BaseRepresentation
bin1100000011111100101000…
…1111111001100101011001
31201221211102121012111201110
43000333022033321211121
53214240442021132114
644112243052410533
72536100443212150
oct300771217714531
951854377174643
1013261957208409
114253401118668
1215a230a776a49
1375279c078750
1433bc4c8b6597
1517ee920bc759
hexc0fca3f9959

13261957208409 has 288 divisors, whose sum is σ = 24093913890816. Its totient is φ = 6311109530880.

The previous prime is 13261957208407. The next prime is 13261957208441. The reversal of 13261957208409 is 90480275916231.

It is not a de Polignac number, because 13261957208409 - 21 = 13261957208407 is a prime.

It is a super-2 number, since 2×132619572084092 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (13261957208407) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13714536444 + ... + 13714537410.

It is an arithmetic number, because the mean of its divisors is an integer number (83659423232).

It is a 1-persistent number, because it is pandigital, but 2⋅13261957208409 = 26523914416818 is not.

Almost surely, 213261957208409 is an apocalyptic number.

13261957208409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

13261957208409 is a deficient number, since it is larger than the sum of its proper divisors (10831956682407).

13261957208409 is a wasteful number, since it uses less digits than its factorization.

13261957208409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 13261957208409 in words is "thirteen trillion, two hundred sixty-one billion, nine hundred fifty-seven million, two hundred eight thousand, four hundred nine".