Search a number
-
+
189009009 = 32717237673
BaseRepresentation
bin10110100010000…
…00110001110001
3111011122122121200
423101000301301
5341341242014
630431041413
74453356450
oct1321006161
9434578550
10189009009
11977662a2
1253370269
1330209667
141b160b97
15118d7a09
hexb440c71

189009009 has 48 divisors (see below), whose sum is σ = 344777472. Its totient is φ = 97219584.

The previous prime is 189008999. The next prime is 189009103. The reversal of 189009009 is 900900981.

It is not a de Polignac number, because 189009009 - 24 = 189008993 is a prime.

189009009 is a modest number, since divided by 9009 gives 189 as remainder.

It is not an unprimeable number, because it can be changed into a prime (189009409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20797 + ... + 28469.

It is an arithmetic number, because the mean of its divisors is an integer number (7182864).

Almost surely, 2189009009 is an apocalyptic number.

It is an amenable number.

189009009 is a deficient number, since it is larger than the sum of its proper divisors (155768463).

189009009 is a wasteful number, since it uses less digits than its factorization.

189009009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 7723 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 189009009 is about 13748.0547351253. The cubic root of 189009009 is about 573.8884729921. Note that the first 3 decimals are identical.

The spelling of 189009009 in words is "one hundred eighty-nine million, nine thousand, nine".

Divisors: 1 3 7 9 17 21 23 51 63 69 119 153 161 207 357 391 483 1071 1173 1449 2737 3519 7673 8211 23019 24633 53711 69057 130441 161133 176479 391323 483399 529437 913087 1173969 1235353 1588311 2739261 3000143 3706059 8217783 9000429 11118177 21001001 27001287 63003003 189009009