| Base | Representation |
|---|---|
| bin | 10100001000111010… |
| … | …011110001010000000 |
| 3 | 2001211001002102120000 |
| 4 | 110020322132022000 |
| 5 | 323241320211310 |
| 6 | 13533433320000 |
| 7 | 1363605133500 |
| oct | 241072361200 |
| 9 | 61731072500 |
| 10 | 21624382080 |
| 11 | 9197444354 |
| 12 | 4235b66000 |
| 13 | 2068099572 |
| 14 | 1091d25a00 |
| 15 | 8686844c0 |
| hex | 508e9e280 |
21624382080 has 480 divisors, whose sum is σ = 89843218740. Its totient is φ = 4942135296.
The previous prime is 21624382067. The next prime is 21624382081. The reversal of 21624382080 is 8028342612.
21624382080 is a `hidden beast` number, since 2 + 1 + 624 + 3 + 8 + 20 + 8 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 20343887424 + 1280494656 = 142632^2 + 35784^2 .
It is a tau number, because it is divible by the number of its divisors (480).
It is a super-2 number, since 2×216243820802 (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 not an unprimeable number, because it can be changed into a prime (21624382081) 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 59 ways as a sum of consecutive naturals, for example, 2535904 + ... + 2544416.
Almost surely, 221624382080 is an apocalyptic number.
21624382080 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 21624382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44921609370).
21624382080 is an abundant number, since it is smaller than the sum of its proper divisors (68218836660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21624382080 is an equidigital number, since it uses as much as digits as its factorization.
21624382080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8558 (or 8530 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 36.
The spelling of 21624382080 in words is "twenty-one billion, six hundred twenty-four million, three hundred eighty-two thousand, eighty".
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