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132383184025 = 5253213732
BaseRepresentation
bin111101101001010100…
…1110001010010011001
3110122201000022112111211
41323102221301102121
54132110043342100
6140452131023121
712364402332511
oct1732251612231
9418630275454
10132383184025
1151163946604
12217a6a3aaa1
13c6398533b1
14659bbcc841
15369c1b71ba
hex1ed2a71499

132383184025 has 27 divisors (see below), whose sum is σ = 167432800759. Its totient is φ = 103832630720.

The previous prime is 132383183953. The next prime is 132383184047. The reversal of 132383184025 is 520481383231.

The square root of 132383184025 is 363845.

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

It can be written as a sum of positive squares in 13 ways, for example, as 58936329 + 132324247696 = 7677^2 + 363764^2 .

It is not a de Polignac number, because 132383184025 - 235 = 98023445657 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 96418239 + ... + 96419611.

Almost surely, 2132383184025 is an apocalyptic number.

132383184025 is the 363845-th square number.

132383184025 is the 181923-rd centered octagonal number.

It is an amenable number.

132383184025 is a deficient number, since it is larger than the sum of its proper divisors (35049616734).

132383184025 is an frugal number, since it uses more digits than its factorization.

132383184025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 132383184025 in words is "one hundred thirty-two billion, three hundred eighty-three million, one hundred eighty-four thousand, twenty-five".

Divisors: 1 5 25 53 265 1325 1373 2809 6865 14045 34325 70225 72769 363845 1819225 1885129 3856757 9425645 19283785 47128225 96418925 99911837 499559185 2497795925 5295327361 26476636805 132383184025