Base | Representation |
---|---|
bin | 10111100001111001… |
… | …01001100100100110 |
3 | 1012121101000122112100 |
4 | 23300330221210212 |
5 | 201332341142400 |
6 | 5445255232530 |
7 | 625020222333 |
oct | 136074514446 |
9 | 35541018470 |
10 | 12632365350 |
11 | 53a2706070 |
12 | 2546678746 |
13 | 1264182bc7 |
14 | 87b9cb98a |
15 | 4de033100 |
hex | 2f0f29926 |
12632365350 has 144 divisors (see below), whose sum is σ = 37072002240. Its totient is φ = 3058449600.
The previous prime is 12632365349. The next prime is 12632365351. The reversal of 12632365350 is 5356323621.
12632365350 is a `hidden beast` number, since 1 + 263 + 2 + 365 + 35 + 0 = 666.
12632365350 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12632365349) and next prime (12632365351).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12632365351) 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 71 ways as a sum of consecutive naturals, for example, 6231037 + ... + 6233063.
It is an arithmetic number, because the mean of its divisors is an integer number (257444460).
Almost surely, 212632365350 is an apocalyptic number.
12632365350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 12632365350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18536001120).
12632365350 is an abundant number, since it is smaller than the sum of its proper divisors (24439636890).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12632365350 is a wasteful number, since it uses less digits than its factorization.
12632365350 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3315 (or 3307 counting only the distinct ones).
The product of its (nonzero) digits is 97200, while the sum is 36.
Adding to 12632365350 its reverse (5356323621), we get a palindrome (17988688971).
The spelling of 12632365350 in words is "twelve billion, six hundred thirty-two million, three hundred sixty-five thousand, three hundred fifty".
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