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27331694329 = 31253332
BaseRepresentation
bin11001011101000110…
…001000111011111001
32121112210101221010011
4121131012020323321
5421433403204304
620320033021521
71655206366012
oct313506107371
977483357104
1027331694329
1110656035535
1253693b48a1
1327676278c4
141473d06009
15a9e754c04
hex65d188ef9

27331694329 has 9 divisors (see below), whose sum is σ = 28247099439. Its totient is φ = 26445067080.

The previous prime is 27331694303. The next prime is 27331694339. The reversal of 27331694329 is 92349613372.

The square root of 27331694329 is 165323.

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., 27249755625 + 81938704 = 165075^2 + 9052^2 .

It is not a de Polignac number, because 27331694329 - 215 = 27331661561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27331694339) 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 8 ways as a sum of consecutive naturals, for example, 5122347 + ... + 5127679.

Almost surely, 227331694329 is an apocalyptic number.

27331694329 is the 165323-rd square number.

27331694329 is the 82662-nd centered octagonal number.

It is an amenable number.

27331694329 is a deficient number, since it is larger than the sum of its proper divisors (915405110).

27331694329 is an frugal number, since it uses more digits than its factorization.

27331694329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10728 (or 5364 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 49.

Multiplying 27331694329 by its sum of digits (49), we get a square (1339253022121 = 11572612).

The spelling of 27331694329 in words is "twenty-seven billion, three hundred thirty-one million, six hundred ninety-four thousand, three hundred twenty-nine".

Divisors: 1 31 961 5333 165323 5125013 28440889 881667559 27331694329