Base | Representation |
---|---|
bin | 110000100111010010001… |
… | …1110101011100000000000 |
3 | 212122201221121011201010000 |
4 | 1201032210132223200000 |
5 | 1333432034003314300 |
6 | 22113224103040000 |
7 | 1256501103660000 |
oct | 141164436534000 |
9 | 25581847151100 |
10 | 6681433651200 |
11 | 2146642125430 |
12 | 8baaa6740000 |
13 | 396097153719 |
14 | 1915513a0000 |
15 | b8bed0b4c00 |
hex | 613a47ab800 |
6681433651200 has 3600 divisors, whose sum is σ = 32010098800680. Its totient is φ = 1365590016000.
The previous prime is 6681433651159. The next prime is 6681433651201. The reversal of 6681433651200 is 21563341866.
6681433651200 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 433 + 6 + 5 + 1 + 200 = 666.
It is a tau number, because it is divible by the number of its divisors (3600).
It is a super-2 number, since 2×66814336512002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (6681433651201) 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 299 ways as a sum of consecutive naturals, for example, 109531699170 + ... + 109531699230.
Almost surely, 26681433651200 is an apocalyptic number.
6681433651200 is a gapful number since it is divisible by the number (60) 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 6681433651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005049400340).
6681433651200 is an abundant number, since it is smaller than the sum of its proper divisors (25328665149480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6681433651200 is an equidigital number, since it uses as much as digits as its factorization.
6681433651200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 89 counting only the distinct ones).
The product of its (nonzero) digits is 622080, while the sum is 45.
The spelling of 6681433651200 in words is "six trillion, six hundred eighty-one billion, four hundred thirty-three million, six hundred fifty-one thousand, two hundred".
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