Search a number
-
+
12487392009 = 321934
BaseRepresentation
bin10111010000100111…
…00111101100001001
31012020021020020111100
423220103213230021
5201033233021014
65423040052013
7621310036461
oct135023475411
935207206440
1012487392009
115328897494
122506004009
131240123c71
14866650ba1
154d1448009
hex2e84e7b09

12487392009 has 15 divisors (see below), whose sum is σ = 18131288513. Its totient is φ = 8281793664.

The previous prime is 12487391999. The next prime is 12487392019. The reversal of 12487392009 is 90029378421.

The square root of 12487392009 is 111747.

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

12487392009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12487391999) and next prime (12487392019).

It can be written as a sum of positive squares in 2 ways, for example, as 3317414409 + 9169977600 = 57597^2 + 95760^2 .

It is not a de Polignac number, because 12487392009 - 223 = 12479003401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12487392019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 64701417 + ... + 64701609.

Almost surely, 212487392009 is an apocalyptic number.

12487392009 is the 111747-th square number.

12487392009 is the 55874-th centered octagonal number.

It is an amenable number.

12487392009 is a deficient number, since it is larger than the sum of its proper divisors (5643896504).

12487392009 is an frugal number, since it uses more digits than its factorization.

12487392009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 12487 and 392009, that added together give a square (404496 = 6362).

The spelling of 12487392009 in words is "twelve billion, four hundred eighty-seven million, three hundred ninety-two thousand, nine".

Divisors: 1 3 9 193 579 1737 37249 111747 335241 7189057 21567171 64701513 1387488001 4162464003 12487392009