| Base | Representation |
|---|---|
| bin | 1100100011110011… |
| … | …00001001101000000 |
| 3 | 122101220122202220200 |
| 4 | 12101321201031000 |
| 5 | 102302120214244 |
| 6 | 3033024205200 |
| 7 | 326043234300 |
| oct | 62171411500 |
| 9 | 18356582820 |
| 10 | 6742741824 |
| 11 | 2950113805 |
| 12 | 1382169800 |
| 13 | 835c21980 |
| 14 | 47d711600 |
| 15 | 296e4e669 |
| hex | 191e61340 |
6742741824 has 1008 divisors, whose sum is σ = 27319638528. Its totient is φ = 1566867456.
The previous prime is 6742741711. The next prime is 6742741861. The reversal of 6742741824 is 4281472476.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (602112) is a multiple of the sum of its prime divisors (112).
It is a self number, because there is not a number n which added to its sum of digits gives 6742741824.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143462569 + ... + 143462615.
It is an arithmetic number, because the mean of its divisors is an integer number (27102816).
Almost surely, 26742741824 is an apocalyptic number.
6742741824 is a gapful number since it is divisible by the number (64) 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 6742741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659819264).
6742741824 is an abundant number, since it is smaller than the sum of its proper divisors (20576896704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6742741824 is a wasteful number, since it uses less digits than its factorization.
6742741824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 132 (or 112 counting only the distinct ones).
The product of its digits is 602112, while the sum is 45.
The square root of 6742741824 is about 82114.1998925886. The cubic root of 6742741824 is about 1889.2039445892.
The spelling of 6742741824 in words is "six billion, seven hundred forty-two million, seven hundred forty-one thousand, eight hundred twenty-four".
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