Search a number
-
+
12006442460 = 2254124116073
BaseRepresentation
bin10110010111010001…
…11100010111011100
31010222202020110202002
423023220330113130
5144042122124320
65303215421432
7603350035265
oct131350742734
933882213662
1012006442460
115101361a21
1223b0b24878
1311945ac02c
1481c81796c
154a40e4675
hex2cba3c5dc

12006442460 has 48 divisors (see below), whose sum is σ = 25843460832. Its totient is φ = 4682726400.

The previous prime is 12006442447. The next prime is 12006442463. The reversal of 12006442460 is 6424460021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006442463) 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 15 ways as a sum of consecutive naturals, for example, 1973984 + ... + 1980056.

It is an arithmetic number, because the mean of its divisors is an integer number (538405434).

Almost surely, 212006442460 is an apocalyptic number.

12006442460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12006442460 is an abundant number, since it is smaller than the sum of its proper divisors (13837018372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12006442460 is a wasteful number, since it uses less digits than its factorization.

12006442460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8534 (or 8532 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 12006442460 in words is "twelve billion, six million, four hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 2411 4822 6073 9644 12055 12146 24110 24292 30365 48220 60730 98851 121460 197702 248993 395404 494255 497986 988510 995972 1244965 1977020 2489930 4979860 14642003 29284006 58568012 73210015 146420030 292840060 600322123 1200644246 2401288492 3001610615 6003221230 12006442460