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27316486729 = 7433732
BaseRepresentation
bin11001011100001100…
…001000001001001001
32121111201210022012201
4121130030020021021
5421421010033404
620314331040201
71654633210000
oct313414101111
977451708181
1027316486729
1110648498874
1253642a0061
13276443191c
141471ca7c37
15a9d24dca4
hex65c308249

27316486729 has 15 divisors (see below), whose sum is σ = 31876788903. Its totient is φ = 23407189848.

The previous prime is 27316486723. The next prime is 27316486739. The reversal of 27316486729 is 92768461372.

The square root of 27316486729 is 165277.

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., 27025716025 + 290770704 = 164395^2 + 17052^2 .

It is not a de Polignac number, because 27316486729 - 29 = 27316486217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27316486729.

It is not an unprimeable number, because it can be changed into a prime (27316486723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8096887 + ... + 8100259.

Almost surely, 227316486729 is an apocalyptic number.

27316486729 is the 165277-th square number.

27316486729 is the 82639-th centered octagonal number.

It is an amenable number.

27316486729 is a deficient number, since it is larger than the sum of its proper divisors (4560302174).

27316486729 is an frugal number, since it uses more digits than its factorization.

27316486729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6774 (or 3380 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 55.

The spelling of 27316486729 in words is "twenty-seven billion, three hundred sixteen million, four hundred eighty-six thousand, seven hundred twenty-nine".

Divisors: 1 7 49 343 2401 3373 23611 165277 1156939 8098573 11377129 79639903 557479321 3902355247 27316486729