| Base | Representation |
|---|---|
| bin | 10011110110101011… |
| … | …101010011111000000 |
| 3 | 2001000201112112200000 |
| 4 | 103312223222133000 |
| 5 | 322130014314103 |
| 6 | 13443225400000 |
| 7 | 1353202230630 |
| oct | 236653523700 |
| 9 | 61021475600 |
| 10 | 21318510528 |
| 11 | 904a81a547 |
| 12 | 416b639000 |
| 13 | 20198c4093 |
| 14 | 10634646c0 |
| 15 | 84b8b5aa3 |
| hex | 4f6aea7c0 |
21318510528 has 336 divisors, whose sum is σ = 74769537024. Its totient is φ = 5893585920.
The previous prime is 21318510467. The next prime is 21318510529. The reversal of 21318510528 is 82501581312.
21318510528 is a `hidden beast` number, since 2 + 131 + 8 + 510 + 5 + 2 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a super-2 number, since 2×213185105282 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 21318510492 and 21318510501.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21318510529) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3371626 + ... + 3377942.
It is an arithmetic number, because the mean of its divisors is an integer number (222528384).
Almost surely, 221318510528 is an apocalyptic number.
21318510528 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 21318510528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37384768512).
21318510528 is an abundant number, since it is smaller than the sum of its proper divisors (53451026496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21318510528 is an equidigital number, since it uses as much as digits as its factorization.
21318510528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6382 (or 6360 counting only the distinct ones).
The product of its (nonzero) digits is 19200, while the sum is 36.
The spelling of 21318510528 in words is "twenty-one billion, three hundred eighteen million, five hundred ten thousand, five hundred twenty-eight".
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