Search a number
-
+
12794462208 = 21832111729
BaseRepresentation
bin10111110101001110…
…00000000000000000
31020000200001000121200
423322213000000000
5202200340242313
65513325421200
7632026064043
oct137247000000
936020030550
1012794462208
11547615a910
122590a0a800
13128b928bc8
14895344c5a
154ed3a1b73
hex2fa9c0000

12794462208 has 456 divisors, whose sum is σ = 44165936880. Its totient is φ = 3523215360.

The previous prime is 12794462129. The next prime is 12794462309. The reversal of 12794462208 is 80226449721.

12794462208 is a `hidden beast` number, since 12 + 7 + 9 + 4 + 4 + 622 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 441188338 + ... + 441188366.

Almost surely, 212794462208 is an apocalyptic number.

12794462208 is a gapful number since it is divisible by the number (18) 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 12794462208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22082968440).

12794462208 is an abundant number, since it is smaller than the sum of its proper divisors (31371474672).

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

12794462208 is an equidigital number, since it uses as much as digits as its factorization.

12794462208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12794462208 in words is "twelve billion, seven hundred ninety-four million, four hundred sixty-two thousand, two hundred eight".