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27130372369 = 17296892
BaseRepresentation
bin11001010001000110…
…001010000100010001
32121000202120201022021
4121101012022010101
5421030333403434
620244042011441
71650213234352
oct312106120421
977022521267
1027130372369
111056242a351
125311aa6b81
1327349c9999
14145529bd29
15a8bc38cb4
hex65118a111

27130372369 has 9 divisors (see below), whose sum is σ = 28823128177. Its totient is φ = 25531832704.

The previous prime is 27130372351. The next prime is 27130372421. The reversal of 27130372369 is 96327303172.

The square root of 27130372369 is 164713.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3256414225 + 23873958144 = 57065^2 + 154512^2 .

It is not a de Polignac number, because 27130372369 - 29 = 27130371857 is a prime.

It is a super-2 number, since 2×271303723692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27130372169) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2795277 + ... + 2804965.

Almost surely, 227130372369 is an apocalyptic number.

27130372369 is the 164713-rd square number.

27130372369 is the 82357-th centered octagonal number.

It is an amenable number.

27130372369 is a deficient number, since it is larger than the sum of its proper divisors (1692755808).

27130372369 is an frugal number, since it uses more digits than its factorization.

27130372369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19412 (or 9706 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 43.

The spelling of 27130372369 in words is "twenty-seven billion, one hundred thirty million, three hundred seventy-two thousand, three hundred sixty-nine".

Divisors: 1 17 289 9689 164713 2800121 93876721 1595904257 27130372369