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27427665769 = 725924012
BaseRepresentation
bin11001100010110100…
…001111011101101001
32121210110222210011221
4121202310033131221
5422132440301034
620333342022041
71660453212100
oct314264173551
977713883157
1027427665769
11106a5225279
125395577921
13278148a83a
141482969037
15aa7db0bb4
hex662d0f769

27427665769 has 27 divisors (see below), whose sum is σ = 32536729911. Its totient is φ = 23053329600.

The previous prime is 27427665763. The next prime is 27427665823. The reversal of 27427665769 is 96756672472.

The square root of 27427665769 is 165613.

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., 27154755369 + 272910400 = 164787^2 + 16520^2 .

It is not a de Polignac number, because 27427665769 - 27 = 27427665641 is a prime.

It is a super-2 number, since 2×274276657692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27427665763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68397969 + ... + 68398369.

Almost surely, 227427665769 is an apocalyptic number.

27427665769 is the 165613-rd square number.

27427665769 is the 82807-th centered octagonal number.

It is an amenable number.

27427665769 is a deficient number, since it is larger than the sum of its proper divisors (5109064142).

27427665769 is an frugal number, since it uses more digits than its factorization.

27427665769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 61.

The spelling of 27427665769 in words is "twenty-seven billion, four hundred twenty-seven million, six hundred sixty-five thousand, seven hundred sixty-nine".

Divisors: 1 7 49 59 401 413 2807 2891 3481 19649 23659 24367 160801 165613 170569 1125607 1159291 1395881 7879249 9487259 9771167 66410813 68398169 464875691 559748281 3918237967 27427665769