Search a number
-
+
2406813696 = 2123373109
BaseRepresentation
bin1000111101110101…
…0001000000000000
320012201211210201000
42033131101000000
514412121014241
61034454212000
7113433402360
oct21735210000
96181753630
102406813696
111025646831
12572054000
132c4833121
1418b9149a0
15e146eeb6
hex8f751000

2406813696 has 208 divisors, whose sum is σ = 8151683200. Its totient is φ = 687439872.

The previous prime is 2406813623. The next prime is 2406813697. The reversal of 2406813696 is 6963186042.

It is a super-3 number, since 3×24068136963 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2406813697) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 772590 + ... + 775698.

Almost surely, 22406813696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075841600).

2406813696 is an abundant number, since it is smaller than the sum of its proper divisors (5744869504).

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

2406813696 is an equidigital number, since it uses as much as digits as its factorization.

2406813696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2406813696 is about 49059.2875610725. The cubic root of 2406813696 is about 1340.1317342829.

The spelling of 2406813696 in words is "two billion, four hundred six million, eight hundred thirteen thousand, six hundred ninety-six".