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132077730625 = 54145372
BaseRepresentation
bin111101100000001110…
…0100011101101000001
3110121220201112220012221
41323000130203231001
54130443344340000
6140401540051041
712354003121021
oct1730034435501
9417821486187
10132077730625
1151017487985
1221720693a81
13c5bb496339
14656d3d9a81
15368047c61a
hex1ec0723b41

132077730625 has 15 divisors (see below), whose sum is σ = 165055686367. Its totient is φ = 105654916000.

The previous prime is 132077730623. The next prime is 132077730649. The reversal of 132077730625 is 526037770231.

The square root of 132077730625 is 363425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 125441347329 + 6636383296 = 354177^2 + 81464^2 .

It is not a de Polignac number, because 132077730625 - 21 = 132077730623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132077730623) 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 14 ways as a sum of consecutive naturals, for example, 9078357 + ... + 9092893.

Almost surely, 2132077730625 is an apocalyptic number.

132077730625 is the 363425-th square number.

132077730625 is the 181713-rd centered octagonal number.

It is an amenable number.

132077730625 is a deficient number, since it is larger than the sum of its proper divisors (32977955742).

132077730625 is an frugal number, since it uses more digits than its factorization.

132077730625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29094 (or 14542 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 43.

The spelling of 132077730625 in words is "one hundred thirty-two billion, seventy-seven million, seven hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 14537 72685 363425 1817125 9085625 211324369 1056621845 5283109225 26415546125 132077730625