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12692050281 = 32172474
BaseRepresentation
bin10111101001000000…
…10101000101101001
31012202112022221212100
423310200111011221
5201443131102111
65455230404013
7626343435021
oct136440250551
935675287770
1012692050281
115423371259
122562660609
13127364c631
148858c6a81
154e43c2756
hex2f4815169

12692050281 has 45 divisors (see below), whose sum is σ = 19898172151. Its totient is φ = 7794200256.

The previous prime is 12692050271. The next prime is 12692050309. The reversal of 12692050281 is 18205029621.

The square root of 12692050281 is 112659.

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

12692050281 is a `hidden beast` number, since 12 + 69 + 2 + 0 + 502 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9881354025 + 2810696256 = 99405^2 + 53016^2 .

It is not a de Polignac number, because 12692050281 - 213 = 12692042089 is a prime.

It is a super-2 number, since 2×126920502812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12692050201) 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, 270043600 + ... + 270043646.

Almost surely, 212692050281 is an apocalyptic number.

12692050281 is the 112659-th square number.

12692050281 is the 56330-th centered octagonal number.

It is an amenable number.

12692050281 is a deficient number, since it is larger than the sum of its proper divisors (7206121870).

12692050281 is an frugal number, since it uses more digits than its factorization.

12692050281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 12692050281 by its sum of digits (36), we get a square (456913810116 = 6759542).

The spelling of 12692050281 in words is "twelve billion, six hundred ninety-two million, fifty thousand, two hundred eighty-one".

Divisors: 1 3 9 17 47 51 141 153 289 423 799 867 2209 2397 2601 6627 7191 13583 19881 37553 40749 103823 112659 122247 311469 337977 638401 934407 1764991 1915203 4879681 5294973 5745609 14639043 15884919 30004847 43917129 82954577 90014541 248863731 270043623 746591193 1410227809 4230683427 12692050281