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27426340881 = 34184012
BaseRepresentation
bin11001100010101111…
…001100000000010001
32121210101111110210000
4121202233030000101
5422132120402011
620333253400213
71660436023332
oct314257140021
977711443700
1027426340881
11106a44aa925
125395039069
132781115794
141482702289
15aa7bed356
hex662bcc011

27426340881 has 15 divisors (see below), whose sum is σ = 40972439563. Its totient is φ = 18283233600.

The previous prime is 27426340871. The next prime is 27426340919. The reversal of 27426340881 is 18804362472.

It is a happy number.

The square root of 27426340881 is 165609.

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

27426340881 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 634 + 0 + 8 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12356323281 + 15070017600 = 111159^2 + 122760^2 .

It is a de Polignac number, because none of the positive numbers 2k-27426340881 is a prime.

It is a super-3 number, since 3×274263408813 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27426340831) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1481281 + ... + 1499681.

Almost surely, 227426340881 is an apocalyptic number.

27426340881 is the 165609-th square number.

27426340881 is the 82805-th centered octagonal number.

It is an amenable number.

27426340881 is a deficient number, since it is larger than the sum of its proper divisors (13546098682).

27426340881 is an frugal number, since it uses more digits than its factorization.

27426340881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36814 (or 18404 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 27426340881 in words is "twenty-seven billion, four hundred twenty-six million, three hundred forty thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 81 18401 55203 165609 496827 1490481 338596801 1015790403 3047371209 9142113627 27426340881