| Base | Representation |
|---|---|
| bin | 110001001111101111011011… |
| … | …010001110011001010000000 |
| 3 | 1001101212102022100211120000000 |
| 4 | 301033233123101303022000 |
| 5 | 211342021104121233210 |
| 6 | 2044350122110000000 |
| 7 | 63422551566236046 |
| oct | 6117573321631200 |
| 9 | 1041772270746000 |
| 10 | 216585994711680 |
| 11 | 630136716a1970 |
| 12 | 2035b9974a6000 |
| 13 | 93b0c82993729 |
| 14 | 3b6ab64b34396 |
| 15 | 1a08d734acac0 |
| hex | c4fbdb473280 |
216585994711680 has 2048 divisors, whose sum is σ = 869607622656000. Its totient is φ = 51125002813440.
The previous prime is 216585994711643. The next prime is 216585994711693. The reversal of 216585994711680 is 86117499585612.
216585994711680 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 8 + 5 + 99 + 471 + 1 + 68 + 0 = 666.
216585994711680 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 (72).
It is a junction number, because it is equal to n+sod(n) for n = 216585994711599 and 216585994711608.
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 165712313587 + ... + 165712314893.
It is an arithmetic number, because the mean of its divisors is an integer number (424613097000).
Almost surely, 2216585994711680 is an apocalyptic number.
216585994711680 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 216585994711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434803811328000).
216585994711680 is an abundant number, since it is smaller than the sum of its proper divisors (653021627944320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
216585994711680 is a wasteful number, since it uses less digits than its factorization.
216585994711680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1634 (or 1604 counting only the distinct ones).
The product of its (nonzero) digits is 261273600, while the sum is 72.
The spelling of 216585994711680 in words is "two hundred sixteen trillion, five hundred eighty-five billion, nine hundred ninety-four million, seven hundred eleven thousand, six hundred eighty".
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