| Base | Representation |
|---|---|
| bin | 101110110001101001100… |
| … | …1100000001111000000000 |
| 3 | 211202120220010011000000000 |
| 4 | 1131203103030001320000 |
| 5 | 1320312202420031200 |
| 6 | 21401205000000000 |
| 7 | 1232316003151626 |
| oct | 135432314017000 |
| 9 | 24676803130000 |
| 10 | 6428814220800 |
| 11 | 2059499035374 |
| 12 | 879b44a60000 |
| 13 | 3783084aa81a |
| 14 | 183228b2d516 |
| 15 | b236532d300 |
| hex | 5d8d3301e00 |
6428814220800 has 2400 divisors, whose sum is σ = 26965284825600. Its totient is φ = 1509235752960.
The previous prime is 6428814220723. The next prime is 6428814220837. The reversal of 6428814220800 is 80224188246.
6428814220800 is a `hidden beast` number, since 6 + 428 + 8 + 14 + 2 + 208 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2400).
It is a super-2 number, since 2×64288142208002 (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 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 239 ways as a sum of consecutive naturals, for example, 81377395161 + ... + 81377395239.
It is an arithmetic number, because the mean of its divisors is an integer number (11235535344).
Almost surely, 26428814220800 is an apocalyptic number.
6428814220800 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 6428814220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13482642412800).
6428814220800 is an abundant number, since it is smaller than the sum of its proper divisors (20536470604800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6428814220800 is an frugal number, since it uses more digits than its factorization.
6428814220800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170 (or 125 counting only the distinct ones).
The product of its (nonzero) digits is 393216, while the sum is 45.
The spelling of 6428814220800 in words is "six trillion, four hundred twenty-eight billion, eight hundred fourteen million, two hundred twenty thousand, eight hundred".
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