Base | Representation |
---|---|
bin | 10110111111100011… |
… | …11111101100000000 |
3 | 1011212022002110000200 |
4 | 23133301333230000 |
5 | 200240124002210 |
6 | 5400530245200 |
7 | 614622216552 |
oct | 133761775400 |
9 | 34768073020 |
10 | 12344359680 |
11 | 5265084154 |
12 | 2486126800 |
13 | 12195c4653 |
14 | 85165b4d2 |
15 | 4c3ae30c0 |
hex | 2dfc7fb00 |
12344359680 has 216 divisors, whose sum is σ = 43154416032. Its totient is φ = 3257597952.
The previous prime is 12344359649. The next prime is 12344359789. The reversal of 12344359680 is 8695344321.
12344359680 is a `hidden beast` number, since 1 + 234 + 4 + 359 + 68 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1111917 + ... + 1122963.
Almost surely, 212344359680 is an apocalyptic number.
12344359680 is a gapful number since it is divisible by the number (10) 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 12344359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21577208016).
12344359680 is an abundant number, since it is smaller than the sum of its proper divisors (30810056352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12344359680 is a wasteful number, since it uses less digits than its factorization.
12344359680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11171 (or 11154 counting only the distinct ones).
The product of its (nonzero) digits is 622080, while the sum is 45.
The spelling of 12344359680 in words is "twelve billion, three hundred forty-four million, three hundred fifty-nine thousand, six hundred eighty".
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