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23025938049 = 32505812
BaseRepresentation
bin10101011100011100…
…111110111010000001
32012102201100211220100
4111130130332322001
5334124120004144
614324501433013
71443414146502
oct253434767201
965381324810
1023025938049
1198465a6074
12456740b769
13222c57131a
141186120ba9
158eb735269
hex55c73ee81

23025938049 has 9 divisors (see below), whose sum is σ = 33260345859. Its totient is φ = 15350321880.

The previous prime is 23025937999. The next prime is 23025938051. The reversal of 23025938049 is 94083952032.

It is a happy number.

The square root of 23025938049 is 151743.

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

It can be written as a sum of positive squares in only one way, i.e., 15777118449 + 7248819600 = 125607^2 + 85140^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 23025938049 - 211 = 23025936001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23025937995 and 23025938013.

It is not an unprimeable number, because it can be changed into a prime (23025938059) 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 8 ways as a sum of consecutive naturals, for example, 429939 + ... + 480519.

Almost surely, 223025938049 is an apocalyptic number.

23025938049 is the 151743-rd square number.

23025938049 is the 75872-nd centered octagonal number.

It is an amenable number.

23025938049 is a deficient number, since it is larger than the sum of its proper divisors (10234407810).

23025938049 is an frugal number, since it uses more digits than its factorization.

23025938049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101168 (or 50584 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 23025938049 in words is "twenty-three billion, twenty-five million, nine hundred thirty-eight thousand, forty-nine".

Divisors: 1 3 9 50581 151743 455229 2558437561 7675312683 23025938049