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13540082229 = 3713745191
BaseRepresentation
bin11001001110000110…
…10100001000110101
31021221122001110000000
430213003110020311
5210212230112404
610115322541513
7656351541252
oct144703241065
937848043000
1013540082229
115819029203
12275a667899
13137a24bb9b
14926396429
15543a86339
hex3270d4235

13540082229 has 32 divisors (see below), whose sum is σ = 20455706880. Its totient is φ = 8960634720.

The previous prime is 13540082201. The next prime is 13540082239. The reversal of 13540082229 is 92228004531.

It is a happy number.

13540082229 is a `hidden beast` number, since 1 + 354 + 0 + 0 + 82 + 229 = 666.

It is not a de Polignac number, because 13540082229 - 217 = 13539951157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13540082193 and 13540082202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540082239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277024 + ... + 322214.

It is an arithmetic number, because the mean of its divisors is an integer number (639240840).

Almost surely, 213540082229 is an apocalyptic number.

It is an amenable number.

13540082229 is a deficient number, since it is larger than the sum of its proper divisors (6915624651).

13540082229 is an frugal number, since it uses more digits than its factorization.

13540082229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45349 (or 45331 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13540082229 in words is "thirteen billion, five hundred forty million, eighty-two thousand, two hundred twenty-nine".

Divisors: 1 3 9 27 81 137 243 411 729 1233 2187 3699 11097 33291 45191 99873 135573 299619 406719 1220157 3660471 6191167 10981413 18573501 32944239 55720503 98832717 167161509 501484527 1504453581 4513360743 13540082229