Base | Representation |
---|---|
bin | 10100011101010010… |
… | …011001101011000000 |
3 | 2002200212021112220000 |
4 | 110131102121223000 |
5 | 324441321340423 |
6 | 14031403520000 |
7 | 1405225420632 |
oct | 243522315300 |
9 | 62625245800 |
10 | 21966199488 |
11 | 935238a882 |
12 | 4310529000 |
13 | 20c0b4919c |
14 | 10c54a2a52 |
15 | 8886a3843 |
hex | 51d499ac0 |
21966199488 has 210 divisors, whose sum is σ = 66055172436. Its totient is φ = 7217185536.
The previous prime is 21966199471. The next prime is 21966199499. The reversal of 21966199488 is 88499166912.
21966199488 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 61 + 99 + 488 = 666.
It is a super-2 number, since 2×219661994882 (a number of 21 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 110382813 + ... + 110383011.
Almost surely, 221966199488 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21966199488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33027586218).
21966199488 is an abundant number, since it is smaller than the sum of its proper divisors (44088972948).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21966199488 is an equidigital number, since it uses as much as digits as its factorization.
21966199488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 529 (or 311 counting only the distinct ones).
The product of its digits is 13436928, while the sum is 63.
The spelling of 21966199488 in words is "twenty-one billion, nine hundred sixty-six million, one hundred ninety-nine thousand, four hundred eighty-eight".
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