| Base | Representation |
|---|---|
| bin | 101110111011101111010100… |
| … | …001011100101100000000000 |
| 3 | 1000001212010012122112202000000 |
| 4 | 232323233110023211200000 |
| 5 | 204023402211112213230 |
| 6 | 2011001531132000000 |
| 7 | 61323006602642100 |
| oct | 5673572413454000 |
| 9 | 1001763178482000 |
| 10 | 206415393085440 |
| 11 | 5a852305182010 |
| 12 | 1b198829600000 |
| 13 | 8b23b71066296 |
| 14 | 38d87b60c1200 |
| 15 | 18ce510eceb60 |
| hex | bbbbd42e5800 |
206415393085440 has 6048 divisors, whose sum is σ = 991953387013680. Its totient is φ = 40733599334400.
The previous prime is 206415393085439. The next prime is 206415393085487. The reversal of 206415393085440 is 44580393514602.
It is a happy number.
206415393085440 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 1 + 5 + 3 + 93 + 0 + 8 + 544 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (6048).
It is a super-2 number, since 2×2064153930854402 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 3383858903010 + ... + 3383858903070.
Almost surely, 2206415393085440 is an apocalyptic number.
206415393085440 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 206415393085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495976693506840).
206415393085440 is an abundant number, since it is smaller than the sum of its proper divisors (785537993928240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
206415393085440 is an equidigital number, since it uses as much as digits as its factorization.
206415393085440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 189 (or 118 counting only the distinct ones).
The product of its (nonzero) digits is 12441600, while the sum is 54.
The spelling of 206415393085440 in words is "two hundred six trillion, four hundred fifteen billion, three hundred ninety-three million, eighty-five thousand, four hundred forty".
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