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15140564209 = 29242432
BaseRepresentation
bin11100001100111001…
…01010110011110001
31110002011122100112101
432012130222303301
5222001441023314
610542214500401
71044124446421
oct160634526361
943064570471
1015140564209
11646a4a9a91
122b26664701
1315739c3144
14a38b74481
155d932d174
hex38672acf1

15140564209 has 9 divisors (see below), whose sum is σ = 15684352203. Its totient is φ = 14615030472.

The previous prime is 15140564203. The next prime is 15140564221. The reversal of 15140564209 is 90246504151.

The square root of 15140564209 is 123047.

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., 7939344609 + 7201219600 = 89103^2 + 84860^2 .

It is a de Polignac number, because none of the positive numbers 2k-15140564209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15140564203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3566242 + ... + 3570484.

Almost surely, 215140564209 is an apocalyptic number.

15140564209 is the 123047-th square number.

15140564209 is the 61524-th centered octagonal number.

It is an amenable number.

15140564209 is a deficient number, since it is larger than the sum of its proper divisors (543787994).

15140564209 is an frugal number, since it uses more digits than its factorization.

15140564209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8544 (or 4272 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 15140564209 in words is "fifteen billion, one hundred forty million, five hundred sixty-four thousand, two hundred nine".

Divisors: 1 29 841 4243 123047 3568363 18003049 522088421 15140564209