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13635136197 = 321942977977
BaseRepresentation
bin11001011001011011…
…11010101011000101
31022012020220200112100
430230231322223011
5210411043324242
610133000142313
7661614513444
oct145455725305
938166820470
1013635136197
115867751701
122786467999
131393b50337
14934c5ad5b
1554c0b054c
hex32cb7aac5

13635136197 has 12 divisors (see below), whose sum is σ = 19696463020. Its totient is φ = 9089506368.

The previous prime is 13635136171. The next prime is 13635136211. The reversal of 13635136197 is 79163153631.

13635136197 is a `hidden beast` number, since 1 + 3 + 635 + 1 + 3 + 6 + 1 + 9 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3008412801 + 10626723396 = 54849^2 + 103086^2 .

It is a de Polignac number, because none of the positive numbers 2k-13635136197 is a prime.

It is a super-2 number, since 2×136351361972 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13635136397) 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 11 ways as a sum of consecutive naturals, for example, 135873 + ... + 213849.

Almost surely, 213635136197 is an apocalyptic number.

It is an amenable number.

13635136197 is a deficient number, since it is larger than the sum of its proper divisors (6061326823).

13635136197 is a wasteful number, since it uses less digits than its factorization.

13635136197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97412 (or 97409 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The spelling of 13635136197 in words is "thirteen billion, six hundred thirty-five million, one hundred thirty-six thousand, one hundred ninety-seven".

Divisors: 1 3 9 19429 58287 77977 174861 233931 701793 1515015133 4545045399 13635136197