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132729791041 = 3643212
BaseRepresentation
bin111101110011101001…
…1111110001001000001
3110200121011111222221201
41323213103332021001
54133312311303131
6140550352021201
712406111415551
oct1734723761101
9420534458851
10132729791041
1151321563591
1221882b31801
13c6935bc0c3
1465d1c55161
1536bc830761
hex1ee74fe241

132729791041 has 3 divisors (see below), whose sum is σ = 132730155363. Its totient is φ = 132729426720.

The previous prime is 132729791027. The next prime is 132729791069. The reversal of 132729791041 is 140197927231.

The square root of 132729791041 is 364321.

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, and also an emirpimes, since its reverse is a distinct semiprime: 140197927231 = 769182311999.

It can be written as a sum of positive squares in only one way, i.e., 73913840641 + 58815950400 = 271871^2 + 242520^2 .

It is not a de Polignac number, because 132729791041 - 25 = 132729791009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132729790982 and 132729791000.

It is not an unprimeable number, because it can be changed into a prime (132729791071) 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, 182161 + ... + 546481.

It is an arithmetic number, because the mean of its divisors is an integer number (44243385121).

Almost surely, 2132729791041 is an apocalyptic number.

132729791041 is the 364321-st square number.

132729791041 is the 182161-st centered octagonal number.

It is an amenable number.

132729791041 is a deficient number, since it is larger than the sum of its proper divisors (364322).

132729791041 is an frugal number, since it uses more digits than its factorization.

132729791041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728642 (or 364321 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The spelling of 132729791041 in words is "one hundred thirty-two billion, seven hundred twenty-nine million, seven hundred ninety-one thousand, forty-one".

Divisors: 1 364321 132729791041