Search a number
-
+
12786199296 = 283132294379
BaseRepresentation
bin10111110100001110…
…11110101100000000
31020000002111020000220
423322013132230000
5202141231334141
65512432343040
7631565620653
oct137207365400
936002436026
1012786199296
115471526862
12258a0a4a80
131289cc4c00
148941d389a
154ec7bd766
hex2fa1deb00

12786199296 has 432 divisors, whose sum is σ = 39499891200. Its totient is φ = 3663249408.

The previous prime is 12786199289. The next prime is 12786199297. The reversal of 12786199296 is 69299168721.

12786199296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12786199297) 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 47 ways as a sum of consecutive naturals, for example, 161850585 + ... + 161850663.

Almost surely, 212786199296 is an apocalyptic number.

12786199296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12786199296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19749945600).

12786199296 is an abundant number, since it is smaller than the sum of its proper divisors (26713691904).

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

12786199296 is a wasteful number, since it uses less digits than its factorization.

12786199296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 60.

The spelling of 12786199296 in words is "twelve billion, seven hundred eighty-six million, one hundred ninety-nine thousand, two hundred ninety-six".