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132369742092025 = 5223010412
BaseRepresentation
bin11110000110001110111011…
…011101001101011011111001
3122100200102102220211112010101
4132012032323131031123321
5114322221212433421100
61145305453043115401
736611253415142434
oct3606167335153371
9570612386745111
10132369742092025
11391a47685a2299
1212a1a186972b61
1358b254a811819
142498a3042c81b
15104839289d86a
hex7863bb74d6f9

132369742092025 has 9 divisors (see below), whose sum is σ = 164138551526413. Its totient is φ = 105895747652800.

The previous prime is 132369742092013. The next prime is 132369742092079. The reversal of 132369742092025 is 520290247963231.

The square root of 132369742092025 is 11505205.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22900311572329 + 109469430519696 = 4785427^2 + 10462764^2 .

It is not a de Polignac number, because 132369742092025 - 213 = 132369742083833 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 (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 56375505 + ... + 58676545.

Almost surely, 2132369742092025 is an apocalyptic number.

132369742092025 is the 11505205-th square number.

132369742092025 is the 5752603-rd centered octagonal number.

It is an amenable number.

132369742092025 is a deficient number, since it is larger than the sum of its proper divisors (31768809434388).

132369742092025 is an frugal number, since it uses more digits than its factorization.

132369742092025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602092 (or 2301046 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 132369742092025 in words is "one hundred thirty-two trillion, three hundred sixty-nine billion, seven hundred forty-two million, ninety-two thousand, twenty-five".

Divisors: 1 5 25 2301041 11505205 57526025 5294789683681 26473948418405 132369742092025