| Base | Representation |
|---|---|
| bin | 1001101000000001001010… |
| … | …00110001001010010000000 |
| 3 | 2202221110201100101220200100 |
| 4 | 10310000211012021102000 |
| 5 | 10233241410111440220 |
| 6 | 113003343333522400 |
| 7 | 4313131456464630 |
| oct | 464004506112200 |
| 9 | 82843640356610 |
| 10 | 21166221202560 |
| 11 | 68205a9080705 |
| 12 | 245a1a47a3400 |
| 13 | ba6c73683b25 |
| 14 | 5326445286c0 |
| 15 | 26a8ae318d90 |
| hex | 134025189480 |
21166221202560 has 1536 divisors, whose sum is σ = 91869650496000. Its totient is φ = 4381035724800.
The previous prime is 21166221202519. The next prime is 21166221202561. The reversal of 21166221202560 is 6520212266112.
21166221202560 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 622 + 1 + 2 + 0 + 25 + 6 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (21166221202561) by changing a digit.
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, 2243843604 + ... + 2243853036.
It is an arithmetic number, because the mean of its divisors is an integer number (59810970375).
Almost surely, 221166221202560 is an apocalyptic number.
21166221202560 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 21166221202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934825248000).
21166221202560 is an abundant number, since it is smaller than the sum of its proper divisors (70703429293440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21166221202560 is a wasteful number, since it uses less digits than its factorization.
21166221202560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9614 (or 9599 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 36.
Adding to 21166221202560 its reverse (6520212266112), we get a palindrome (27686433468672).
The spelling of 21166221202560 in words is "twenty-one trillion, one hundred sixty-six billion, two hundred twenty-one million, two hundred two thousand, five hundred sixty".
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