Search a number
-
+
12428200009 = 293637117833
BaseRepresentation
bin10111001001100011…
…10100100001001001
31012002010211222100001
423210301310201021
5200423104400014
65413123243001
7616660646161
oct134461644111
935063758301
1012428200009
1152a8438685
1224aa219461
131230a9aa04
1485c8435a1
154cb154974
hex2e4c74849

12428200009 has 8 divisors (see below), whose sum is σ = 12860402760. Its totient is φ = 11996240256.

The previous prime is 12428200007. The next prime is 12428200027. The reversal of 12428200009 is 90000282421.

It can be written as a sum of positive squares in 4 ways, for example, as 791184384 + 11637015625 = 28128^2 + 107875^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12428200009 - 21 = 12428200007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12428200009.

It is not an unprimeable number, because it can be changed into a prime (12428200007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46557 + ... + 164389.

It is an arithmetic number, because the mean of its divisors is an integer number (1607550345).

Almost surely, 212428200009 is an apocalyptic number.

It is an amenable number.

12428200009 is a deficient number, since it is larger than the sum of its proper divisors (432202751).

12428200009 is a wasteful number, since it uses less digits than its factorization.

12428200009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121499.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 12428200009 in words is "twelve billion, four hundred twenty-eight million, two hundred thousand, nine".

Divisors: 1 29 3637 105473 117833 3417157 428558621 12428200009