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13539882321 = 347218472
BaseRepresentation
bin11001001110000101…
…00011010101010001
31021221121200021210000
430213002203111101
5210212202213241
610115314400213
7656350046400
oct144702432521
937847607700
1013539882321
115818a01a99
12275a590069
13137a1abbb4
14926343637
15543a46eb6
hex3270a3551

13539882321 has 45 divisors (see below), whose sum is σ = 23541233529. Its totient is φ = 7732886616.

The previous prime is 13539882313. The next prime is 13539882331. The reversal of 13539882321 is 12328893531.

The square root of 13539882321 is 116361.

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

13539882321 is a `hidden beast` number, since 1 + 3 + 539 + 8 + 82 + 32 + 1 = 666.

It is not a de Polignac number, because 13539882321 - 23 = 13539882313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13539882331) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7329820 + ... + 7331666.

Almost surely, 213539882321 is an apocalyptic number.

13539882321 is the 116361-st square number.

13539882321 is the 58181-st centered octagonal number.

It is an amenable number.

13539882321 is a deficient number, since it is larger than the sum of its proper divisors (10001351208).

13539882321 is an frugal number, since it uses more digits than its factorization.

13539882321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 1857 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 13539882321 in words is "thirteen billion, five hundred thirty-nine million, eight hundred eighty-two thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 1847 3969 5541 12929 16623 38787 49869 90503 116361 149607 271509 349083 814527 1047249 2443581 3411409 7330743 10234227 23879863 30702681 71639589 92108043 167159041 214918767 276324129 501477123 644756301 1504431369 1934268903 4513294107 13539882321