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2132564265 = 325133645409
BaseRepresentation
bin111111100011100…
…0101100100101001
312111121210111012200
41333013011210221
513331414024030
6551340130413
7103563332346
oct17707054451
95447714180
102132564265
119a4860107
124b6236a09
1327ca80060
141633257cd
15c734ad60
hex7f1c5929

2132564265 has 24 divisors (see below), whose sum is σ = 3980787720. Its totient is φ = 1049877504.

The previous prime is 2132564261. The next prime is 2132564353. The reversal of 2132564265 is 5624652312.

2132564265 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 5 + 642 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 406909584 + 1725654681 = 20172^2 + 41541^2 .

It is not a de Polignac number, because 2132564265 - 22 = 2132564261 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2132564261) 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 23 ways as a sum of consecutive naturals, for example, 1822120 + ... + 1823289.

It is an arithmetic number, because the mean of its divisors is an integer number (165866155).

Almost surely, 22132564265 is an apocalyptic number.

It is an amenable number.

2132564265 is a deficient number, since it is larger than the sum of its proper divisors (1848223455).

2132564265 is a wasteful number, since it uses less digits than its factorization.

2132564265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645433 (or 3645430 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 2132564265 is about 46179.6953757818. The cubic root of 2132564265 is about 1287.1644676915.

The spelling of 2132564265 in words is "two billion, one hundred thirty-two million, five hundred sixty-four thousand, two hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 3645409 10936227 18227045 32808681 47390317 54681135 142170951 164043405 236951585 426512853 710854755 2132564265