| Base | Representation |
|---|---|
| bin | 10111100100001001100… |
| … | …10000000001011000000 |
| 3 | 2212101221002200112200000 |
| 4 | 23302010302000023000 |
| 5 | 101231211434131224 |
| 6 | 1415543525400000 |
| 7 | 112332443431230 |
| oct | 13620462001300 |
| 9 | 2771832615600 |
| 10 | 809681552064 |
| 11 | 2924251450a0 |
| 12 | 110b08869000 |
| 13 | 5b4779aa1c8 |
| 14 | 2b2900b1cc0 |
| 15 | 160dd24a0c9 |
| hex | bc84c802c0 |
809681552064 has 1344 divisors, whose sum is σ = 3282190958592. Its totient is φ = 191401574400.
The previous prime is 809681552041. The next prime is 809681552111. The reversal of 809681552064 is 460255186908.
809681552064 is a `hidden beast` number, since 8 + 0 + 9 + 6 + 81 + 552 + 0 + 6 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-3 number, since 3×8096815520643 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 809681552064.
It is an unprimeable number.
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 191 ways as a sum of consecutive naturals, for example, 631083967 + ... + 631085249.
It is an arithmetic number, because the mean of its divisors is an integer number (2442106368).
Almost surely, 2809681552064 is an apocalyptic number.
809681552064 is a gapful number since it is divisible by the number (84) 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 809681552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641095479296).
809681552064 is an abundant number, since it is smaller than the sum of its proper divisors (2472509406528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
809681552064 is a wasteful number, since it uses less digits than its factorization.
809681552064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1376 (or 1354 counting only the distinct ones).
The product of its (nonzero) digits is 4147200, while the sum is 54.
The spelling of 809681552064 in words is "eight hundred nine billion, six hundred eighty-one million, five hundred fifty-two thousand, sixty-four".
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