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13560369601 = 232612832
BaseRepresentation
bin11001010000100001…
…01101000111000001
31022000001020011001011
430220100231013001
5210232423311401
610121325440521
7660016145152
oct145020550701
938001204034
1013560369601
115829525429
122765410141
13138150304c
14928d57929
15545742451
hex32842d1c1

13560369601 has 27 divisors (see below), whose sum is σ = 14587509027. Its totient is φ = 12604439760.

The previous prime is 13560369593. The next prime is 13560369653. The reversal of 13560369601 is 10696306531.

The square root of 13560369601 is 116449.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 440958001 + 13119411600 = 20999^2 + 114540^2 .

It is not a de Polignac number, because 13560369601 - 23 = 13560369593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13560369101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 163377906 + ... + 163377988.

Almost surely, 213560369601 is an apocalyptic number.

13560369601 is the 116449-th square number.

13560369601 is the 58225-th centered octagonal number.

It is an amenable number.

13560369601 is a deficient number, since it is larger than the sum of its proper divisors (1027139426).

13560369601 is an frugal number, since it uses more digits than its factorization.

13560369601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

It can be divided in two parts, 13560 and 369601, that added together give a square (383161 = 6192).

The spelling of 13560369601 in words is "thirteen billion, five hundred sixty million, three hundred sixty-nine thousand, six hundred one".

Divisors: 1 23 61 83 529 1403 1909 3721 5063 6889 32269 43907 85583 116449 158447 308843 420229 1968409 2678327 3644281 7103389 9665267 25633969 163377947 222301141 589581287 13560369601