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132384241729 = 172458076961
BaseRepresentation
bin111101101001010110…
…1110011100001000001
3110122201002022021102001
41323102231303201001
54132110331213404
6140452205424001
712364414326265
oct1732255634101
9418632267361
10132384241729
11511644a9243
12217a726b001
13c639b3395c
14659bdc60a5
15369c3257a4
hex1ed2b73841

132384241729 has 6 divisors (see below), whose sum is σ = 140629627334. Its totient is φ = 124596933120.

The previous prime is 132384241721. The next prime is 132384241739. The reversal of 132384241729 is 927142483231.

It can be written as a sum of positive squares in 3 ways, for example, as 14532784704 + 117851457025 = 120552^2 + 343295^2 .

It is not a de Polignac number, because 132384241729 - 23 = 132384241721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132384241721) 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 5 ways as a sum of consecutive naturals, for example, 229038192 + ... + 229038769.

Almost surely, 2132384241729 is an apocalyptic number.

It is an amenable number.

132384241729 is a deficient number, since it is larger than the sum of its proper divisors (8245385605).

132384241729 is an equidigital number, since it uses as much as digits as its factorization.

132384241729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458076995 (or 458076978 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The spelling of 132384241729 in words is "one hundred thirty-two billion, three hundred eighty-four million, two hundred forty-one thousand, seven hundred twenty-nine".

Divisors: 1 17 289 458076961 7787308337 132384241729