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27348229129 = 132127212
BaseRepresentation
bin11001011110000101…
…001101110000001001
32121120221111222121011
4121132011031300021
5422002121313004
620321423243521
71655500053304
oct313605156011
977527458534
1027348229129
11106643a9361
125372a495a1
13276ab96a00
1414761abb3b
15aa0e1e004
hex65e14dc09

27348229129 has 9 divisors (see below), whose sum is σ = 29616091029. Its totient is φ = 25242534720.

The previous prime is 27348229127. The next prime is 27348229133. The reversal of 27348229129 is 92192284372.

The square root of 27348229129 is 165373.

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 40005625 + 27308223504 = 6325^2 + 165252^2 .

It is not a de Polignac number, because 27348229129 - 21 = 27348229127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27348229123) 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, 2143489 + ... + 2156209.

It is an arithmetic number, because the mean of its divisors is an integer number (3290676781).

Almost surely, 227348229129 is an apocalyptic number.

27348229129 is the 165373-rd square number.

27348229129 is the 82687-th centered octagonal number.

It is an amenable number.

27348229129 is a deficient number, since it is larger than the sum of its proper divisors (2267861900).

27348229129 is an frugal number, since it uses more digits than its factorization.

27348229129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25468 (or 12734 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

Multiplying 27348229129 by its sum of digits (49), we get a square (1340063227321 = 11576112).

The spelling of 27348229129 in words is "twenty-seven billion, three hundred forty-eight million, two hundred twenty-nine thousand, one hundred twenty-nine".

Divisors: 1 13 169 12721 165373 2149849 161823841 2103709933 27348229129