| Base | Representation |
|---|---|
| bin | 1100111000000010100111100… |
| … | …1101111011001011010110000 |
| 3 | 11101211000211020202210120002000 |
| 4 | 3032000221321233121122300 |
| 5 | 1422224100142244202100 |
| 6 | 12530554113452054000 |
| 7 | 361562262413524062 |
| oct | 31600517157313260 |
| 9 | 4354024222716060 |
| 10 | 906042573428400 |
| 11 | 242769552245791 |
| 12 | 85751154764300 |
| 13 | 2cb735a9522385 |
| 14 | 11da49a1b47732 |
| 15 | 6eb33a737d900 |
| hex | 3380a79bd96b0 |
906042573428400 has 480 divisors, whose sum is σ = 3336556323067200. Its totient is φ = 233243948851200.
The previous prime is 906042573428329. The next prime is 906042573428401. The reversal of 906042573428400 is 4824375240609.
It is a happy number.
906042573428400 is a `hidden beast` number, since 9 + 0 + 6 + 0 + 4 + 2 + 573 + 4 + 28 + 40 + 0 = 666.
906042573428400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (906042573428401) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2060949412 + ... + 2061388988.
It is an arithmetic number, because the mean of its divisors is an integer number (6951159006390).
Almost surely, 2906042573428400 is an apocalyptic number.
906042573428400 is a gapful number since it is divisible by the number (90) 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 906042573428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668278161533600).
906042573428400 is an abundant number, since it is smaller than the sum of its proper divisors (2430513749638800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
906042573428400 is a wasteful number, since it uses less digits than its factorization.
906042573428400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 446214 (or 446197 counting only the distinct ones).
The product of its (nonzero) digits is 11612160, while the sum is 54.
The spelling of 906042573428400 in words is "nine hundred six trillion, forty-two billion, five hundred seventy-three million, four hundred twenty-eight thousand, four hundred".
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