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13104067729 = 1144732
BaseRepresentation
bin11000011010001000…
…00011010010010001
31020211020121121112211
430031010003102101
5203314120131404
610004145352121
7642505511044
oct141504032221
936736547484
1013104067729
1156149a5045
122658638641
13130ab0ab3c
148c44d8c5b
1551a65bb04
hex30d103491

13104067729 has 3 divisors (see below), whose sum is σ = 13104182203. Its totient is φ = 13103953256.

The previous prime is 13104067651. The next prime is 13104067751. The reversal of 13104067729 is 92776040131.

The square root of 13104067729 is 114473.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 10139483025 + 2964584704 = 100695^2 + 54448^2 .

It is not a de Polignac number, because 13104067729 - 27 = 13104067601 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13104067691 and 13104067700.

It is not an unprimeable number, because it can be changed into a prime (13104067799) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 57237 + ... + 171709.

Almost surely, 213104067729 is an apocalyptic number.

13104067729 is the 114473-rd square number.

13104067729 is the 57237-th centered octagonal number.

It is an amenable number.

13104067729 is a deficient number, since it is larger than the sum of its proper divisors (114474).

13104067729 is an frugal number, since it uses more digits than its factorization.

13104067729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228946 (or 114473 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

Multiplying 13104067729 by its product of nonzero digits (63504), we get a square (832160717062416 = 288471962).

The spelling of 13104067729 in words is "thirteen billion, one hundred four million, sixty-seven thousand, seven hundred twenty-nine".

Divisors: 1 114473 13104067729