| Base | Representation |
|---|---|
| bin | 101110110111110001101111… |
| … | …111100111010000000000000 |
| 3 | 1000000220002110001211121200000 |
| 4 | 232313301233330322000000 |
| 5 | 204004422111403413000 |
| 6 | 2010232502414400000 |
| 7 | 61264230616541100 |
| oct | 5667615774720000 |
| 9 | 1000802401747600 |
| 10 | 206143128576000 |
| 11 | 5a75789aa39340 |
| 12 | 1b153b04800000 |
| 13 | 8b042a1402765 |
| 14 | 38c9548757200 |
| 15 | 18c73c8739000 |
| hex | bb7c6ff3a000 |
206143128576000 has 8064 divisors, whose sum is σ = 1030838260757760. Its totient is φ = 40577531904000.
The previous prime is 206143128575981. The next prime is 206143128576019. The reversal of 206143128576000 is 675821341602.
206143128576000 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 4 + 31 + 2 + 8 + 5 + 7 + 600 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (206143128575981) and next prime (206143128576019).
It is a tau number, because it is divible by the number of its divisors (8064).
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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3889492991974 + ... + 3889492992026.
It is an arithmetic number, because the mean of its divisors is an integer number (127832125590).
Almost surely, 2206143128576000 is an apocalyptic number.
206143128576000 is a gapful number since it is divisible by the number (20) 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 206143128576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515419130378880).
206143128576000 is an abundant number, since it is smaller than the sum of its proper divisors (824695132181760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
206143128576000 is an equidigital number, since it uses as much as digits as its factorization.
206143128576000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 163 (or 110 counting only the distinct ones).
The product of its (nonzero) digits is 483840, while the sum is 45.
The spelling of 206143128576000 in words is "two hundred six trillion, one hundred forty-three billion, one hundred twenty-eight million, five hundred seventy-six thousand".
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