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132782258449 = 3643932
BaseRepresentation
bin111101110101001110…
…0000111100100010001
3110200201211020121201001
41323222130013210101
54133414224232244
6140555504342001
712410316401011
oct1735234074421
9420654217631
10132782258449
115134913a085
1221898614901
13c6a142c5c9
1465d8bd1c41
1536c22465d4
hex1eea707911

132782258449 has 3 divisors (see below), whose sum is σ = 132782622843. Its totient is φ = 132781894056.

The previous prime is 132782258383. The next prime is 132782258459. The reversal of 132782258449 is 944852287231.

The square root of 132782258449 is 364393.

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., 131641980625 + 1140277824 = 362825^2 + 33768^2 .

It is a de Polignac number, because none of the positive numbers 2k-132782258449 is a prime.

It is a super-2 number, since 2×1327822584492 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132782258449.

It is not an unprimeable number, because it can be changed into a prime (132782258459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 182197 + ... + 546589.

It is an arithmetic number, because the mean of its divisors is an integer number (44260874281).

Almost surely, 2132782258449 is an apocalyptic number.

132782258449 is the 364393-rd square number.

132782258449 is the 182197-th centered octagonal number.

It is an amenable number.

132782258449 is a deficient number, since it is larger than the sum of its proper divisors (364394).

132782258449 is an frugal number, since it uses more digits than its factorization.

132782258449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728786 (or 364393 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 55.

The spelling of 132782258449 in words is "one hundred thirty-two billion, seven hundred eighty-two million, two hundred fifty-eight thousand, four hundred forty-nine".

Divisors: 1 364393 132782258449