Base | Representation |
---|---|
bin | 10111101101011011… |
… | …00010101101000000 |
3 | 1012212002222200010000 |
4 | 23312231202231000 |
5 | 202032120141402 |
6 | 5503032040000 |
7 | 630303203310 |
oct | 136655425500 |
9 | 35762880100 |
10 | 12729068352 |
11 | 5442255500 |
12 | 2572b33000 |
13 | 127b210b10 |
14 | 88a7a1440 |
15 | 4e7785c1c |
hex | 2f6b62b40 |
12729068352 has 840 divisors, whose sum is σ = 51275130368. Its totient is φ = 3038238720.
The previous prime is 12729068333. The next prime is 12729068371. The reversal of 12729068352 is 25386092721.
12729068352 is a `hidden beast` number, since 1 + 2 + 7 + 290 + 6 + 8 + 352 = 666.
12729068352 is digitally balanced in base 2, because in such base 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 (12729068333) and next prime (12729068371).
It is a super-2 number, since 2×127290683522 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12729068298 and 12729068307.
It is a congruent number.
It is an unprimeable number.
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 119 ways as a sum of consecutive naturals, for example, 57080913 + ... + 57081135.
Almost surely, 212729068352 is an apocalyptic number.
12729068352 is a gapful number since it is divisible by the number (12) 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 12729068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25637565184).
12729068352 is an abundant number, since it is smaller than the sum of its proper divisors (38546062016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12729068352 is a wasteful number, since it uses less digits than its factorization.
12729068352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 289 (or 259 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The spelling of 12729068352 in words is "twelve billion, seven hundred twenty-nine million, sixty-eight thousand, three hundred fifty-two".
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