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12324273696 = 25327193197107
BaseRepresentation
bin10110111101001010…
…10111111000100000
31011210220021222020100
423132211113320200
5200220003224241
65354531542400
7614256412050
oct133645277040
934726258210
1012324273696
115254805269
12247b45aa00
1312153b1057
1484cb0d560
154c1e769b6
hex2de957e20

12324273696 has 576 divisors, whose sum is σ = 44381675520. Its totient is φ = 3165143040.

The previous prime is 12324273673. The next prime is 12324273721. The reversal of 12324273696 is 69637242321.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115180075 + ... + 115180181.

It is an arithmetic number, because the mean of its divisors is an integer number (77051520).

Almost surely, 212324273696 is an apocalyptic number.

12324273696 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 12324273696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190837760).

12324273696 is an abundant number, since it is smaller than the sum of its proper divisors (32057401824).

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

12324273696 is a wasteful number, since it uses less digits than its factorization.

12324273696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 12324273696 in words is "twelve billion, three hundred twenty-four million, two hundred seventy-three thousand, six hundred ninety-six".