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2109289329 = 31672
BaseRepresentation
bin111110110111001…
…0011001101110001
312110000000000000000
41331232103031301
513304434224304
6545145220213
7103161443400
oct17556231561
95400000000
102109289329
11992703324
124aa491669
13277cc10c4
141601c7637
15c529e939
hex7db93371

2109289329 has 51 divisors (see below), whose sum is σ = 3680494617. Its totient is φ = 1205308188.

The previous prime is 2109289327. The next prime is 2109289333. The reversal of 2109289329 is 9239829012.

It is a happy number.

The square root of 2109289329 is 45927.

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

It is not a de Polignac number, because 2109289329 - 21 = 2109289327 is a prime.

It is a Curzon number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (2109289327) 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 50 ways as a sum of consecutive naturals, for example, 301327044 + ... + 301327050.

Almost surely, 22109289329 is an apocalyptic number.

2109289329 is the 45927-th square number.

2109289329 is the 22964-th centered octagonal number.

It is an amenable number.

2109289329 is a deficient number, since it is larger than the sum of its proper divisors (1571205288).

2109289329 is an frugal number, since it uses more digits than its factorization.

2109289329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The cubic root of 2109289329 is about 1282.4645973607.

The spelling of 2109289329 in words is "two billion, one hundred nine million, two hundred eighty-nine thousand, three hundred twenty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 2187 3969 5103 6561 11907 15309 19683 35721 45927 59049 107163 137781 177147 321489 413343 531441 964467 1240029 1594323 2893401 3720087 4782969 8680203 11160261 14348907 26040609 33480783 43046721 78121827 100442349 234365481 301327047 703096443 2109289329