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13667714281 = 132172234
BaseRepresentation
bin11001011101010100…
…01100010011101001
31022021112012211021001
430232222030103221
5210442413324111
610140122315001
7662461440334
oct145652142351
938245184231
1013667714281
115884083041
122795358a61
13139a818900
149392db61b
1554ed981c1
hex32ea8c4e9

13667714281 has 45 divisors (see below), whose sum is σ = 16436369541. Its totient is φ = 11357943168.

The previous prime is 13667714261. The next prime is 13667714311. The reversal of 13667714281 is 18241776631.

The square root of 13667714281 is 116909.

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

13667714281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 123409881 + 13544304400 = 11109^2 + 116380^2 .

It is not a de Polignac number, because 13667714281 - 213 = 13667706089 is a prime.

It is a super-2 number, since 2×136677142812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13667714251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 594248436 + ... + 594248458.

Almost surely, 213667714281 is an apocalyptic number.

13667714281 is the 116909-th square number.

13667714281 is the 58455-th centered octagonal number.

It is an amenable number.

13667714281 is a deficient number, since it is larger than the sum of its proper divisors (2768655260).

13667714281 is an frugal number, since it uses more digits than its factorization.

13667714281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 53 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The spelling of 13667714281 in words is "thirteen billion, six hundred sixty-seven million, seven hundred fourteen thousand, two hundred eighty-one".

Divisors: 1 13 17 23 169 221 289 299 391 529 2873 3757 3887 5083 6647 6877 8993 12167 48841 66079 86411 89401 116909 152881 158171 206839 279841 1123343 1519817 1987453 2056223 2688907 3516263 3637933 4757297 25836889 34955791 45711419 47293129 61844861 80874049 594248447 803983193 1051362637 13667714281