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27542793681 = 32131132083261
BaseRepresentation
bin11001101001101011…
…011010110111010001
32122002111121212222200
4121221223122313101
5422401423344211
620353013353413
71663351612014
oct315153326721
978074555880
1027542793681
1110754209607
125408038869
13279c299c70
141493d7737b
15ab3052b56
hex669adadd1

27542793681 has 24 divisors (see below), whose sum is σ = 43223519976. Its totient is φ = 16799408640.

The previous prime is 27542793659. The next prime is 27542793701. The reversal of 27542793681 is 18639724572.

It is a happy number.

27542793681 is a `hidden beast` number, since 2 + 7 + 5 + 4 + 279 + 368 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6498939456 + 21043854225 = 80616^2 + 145065^2 .

It is not a de Polignac number, because 27542793681 - 210 = 27542792657 is a prime.

It is a super-2 number, since 2×275427936812 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27542793601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028410 + ... + 1054851.

It is an arithmetic number, because the mean of its divisors is an integer number (1800979999).

Almost surely, 227542793681 is an apocalyptic number.

It is an amenable number.

27542793681 is a deficient number, since it is larger than the sum of its proper divisors (15680726295).

27542793681 is a wasteful number, since it uses less digits than its factorization.

27542793681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083393 (or 2083390 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 27542793681 in words is "twenty-seven billion, five hundred forty-two million, seven hundred ninety-three thousand, six hundred eighty-one".

Divisors: 1 3 9 13 39 113 117 339 1017 1469 4407 13221 2083261 6249783 18749349 27082393 81247179 235408493 243741537 706225479 2118676437 3060310409 9180931227 27542793681