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13069291041 = 325327192
BaseRepresentation
bin11000010101111110…
…11000111000100001
31020201211011202220100
430022333120320201
5203231214303131
610000504133013
7641604066222
oct141277307041
936654152810
1013069291041
1155a7301884
122648a67169
131303852911
148bda45249
1551758c7e6
hex30afd8e21

13069291041 has 27 divisors (see below), whose sum is σ = 19267569139. Its totient is φ = 8536577712.

The previous prime is 13069291009. The next prime is 13069291051. The reversal of 13069291041 is 14019296031.

It is a happy number.

The square root of 13069291041 is 114321.

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

13069291041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9421614225 + 3647676816 = 97065^2 + 60396^2 .

It is not a de Polignac number, because 13069291041 - 25 = 13069291009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13069290987 and 13069291005.

It is not an unprimeable number, because it can be changed into a prime (13069291051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18176680 + ... + 18177398.

Almost surely, 213069291041 is an apocalyptic number.

13069291041 is the 114321-st square number.

13069291041 is the 57161-st centered octagonal number.

It is an amenable number.

13069291041 is a deficient number, since it is larger than the sum of its proper divisors (6198278098).

13069291041 is an frugal number, since it uses more digits than its factorization.

13069291041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 13069291041 by its sum of digits (36), we get a square (470494477476 = 6859262).

Multiplying 13069291041 by its product of nonzero digits (11664), we get a square (152440210702224 = 123466682).

The spelling of 13069291041 in words is "thirteen billion, sixty-nine million, two hundred ninety-one thousand, forty-one".

Divisors: 1 3 9 53 159 477 719 2157 2809 6471 8427 25281 38107 114321 342963 516961 1550883 2019671 4652649 6059013 18177039 27398933 82196799 246590397 1452143449 4356430347 13069291041