| Base | Representation |
|---|---|
| bin | 1001101000000000011110… |
| … | …10100100011000000000000 |
| 3 | 2202221102202212222120012100 |
| 4 | 10310000033110203000000 |
| 5 | 10233240133101113133 |
| 6 | 113003243203430400 |
| 7 | 4313116432340100 |
| oct | 464001724430000 |
| 9 | 82842685876170 |
| 10 | 21165855879168 |
| 11 | 682043093a850 |
| 12 | 245a102385400 |
| 13 | ba6c15a94040 |
| 14 | 53260bbcd200 |
| 15 | 26a88c204e13 |
| hex | 13400f523000 |
21165855879168 has 1872 divisors, whose sum is σ = 84870106304256. Its totient is φ = 4994900951040.
The previous prime is 21165855879139. The next prime is 21165855879191. The reversal of 21165855879168 is 86197855856112.
21165855879168 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 5 + 8 + 558 + 7 + 9 + 1 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (1872).
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 = 21165855879096 and 21165855879105.
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 143 ways as a sum of consecutive naturals, for example, 17306504605 + ... + 17306505827.
It is an arithmetic number, because the mean of its divisors is an integer number (45336595248).
Almost surely, 221165855879168 is an apocalyptic number.
21165855879168 is a gapful number since it is divisible by the number (28) 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 21165855879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42435053152128).
21165855879168 is an abundant number, since it is smaller than the sum of its proper divisors (63704250425088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21165855879168 is a wasteful number, since it uses less digits than its factorization.
21165855879168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1358 (or 1326 counting only the distinct ones).
The product of its digits is 290304000, while the sum is 72.
The spelling of 21165855879168 in words is "twenty-one trillion, one hundred sixty-five billion, eight hundred fifty-five million, eight hundred seventy-nine thousand, one hundred sixty-eight".
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