| Base | Representation |
|---|---|
| bin | 100000001110000000000… |
| … | …0101011000100110110000 |
| 3 | 120200022201210020212202000 |
| 4 | 1000130000011120212300 |
| 5 | 1040022233322144210 |
| 6 | 13230125154454000 |
| 7 | 634630521602154 |
| oct | 100340005304660 |
| 9 | 16608653225660 |
| 10 | 4428112693680 |
| 11 | 1457a521a1905 |
| 12 | 5b6245b94300 |
| 13 | 2617527c0c60 |
| 14 | 114471029064 |
| 15 | 7a2ba97aac0 |
| hex | 407001589b0 |
4428112693680 has 640 divisors, whose sum is σ = 16749427968000. Its totient is φ = 1068612341760.
The previous prime is 4428112693679. The next prime is 4428112693681. The reversal of 4428112693680 is 863962118244.
4428112693680 is a `hidden beast` number, since 4 + 4 + 2 + 8 + 11 + 269 + 368 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (4428112693679) and next prime (4428112693681).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (4428112693681) by changing a digit.
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 127 ways as a sum of consecutive naturals, for example, 644460645 + ... + 644467515.
It is an arithmetic number, because the mean of its divisors is an integer number (26170981200).
Almost surely, 24428112693680 is an apocalyptic number.
4428112693680 is a gapful number since it is divisible by the number (40) 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 4428112693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8374713984000).
4428112693680 is an abundant number, since it is smaller than the sum of its proper divisors (12321315274320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4428112693680 is a wasteful number, since it uses less digits than its factorization.
4428112693680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7354 (or 7342 counting only the distinct ones).
The product of its (nonzero) digits is 3981312, while the sum is 54.
The spelling of 4428112693680 in words is "four trillion, four hundred twenty-eight billion, one hundred twelve million, six hundred ninety-three thousand, six hundred eighty".
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