Base | Representation |
---|---|
bin | 10100010000000000… |
… | …000000000000000000 |
3 | 2002010022210122210000 |
4 | 110100000000000000 |
5 | 324012234200221 |
6 | 13553321440000 |
7 | 1366550522241 |
oct | 242000000000 |
9 | 62108718700 |
10 | 21743271936 |
11 | 9248568031 |
12 | 4269940000 |
13 | 20868c50a9 |
14 | 10a3a32cc8 |
15 | 873d1ae26 |
hex | 510000000 |
21743271936 has 145 divisors (see below), whose sum is σ = 64961380231. Its totient is φ = 7247757312.
The previous prime is 21743271923. The next prime is 21743271967. The reversal of 21743271936 is 63917234712.
The square root of 21743271936 is 147456.
It is a perfect power (a square, a biquadrate), and thus also a powerful number.
It is a Jordan-Polya number, since it can be written as (4!)4 ⋅ (2!)16.
21743271936 is a `hidden beast` number, since 21 + 7 + 432 + 7 + 193 + 6 = 666.
It is a Duffinian number.
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 21743271891 and 21743271900.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 7247757311 + 7247757312 + 7247757313.
Almost surely, 221743271936 is an apocalyptic number.
21743271936 is the 147456-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21743271936
21743271936 is an abundant number, since it is smaller than the sum of its proper divisors (43218108295).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21743271936 is an frugal number, since it uses more digits than its factorization.
21743271936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68 (or 5 counting only the distinct ones).
The product of its digits is 381024, while the sum is 45.
The spelling of 21743271936 in words is "twenty-one billion, seven hundred forty-three million, two hundred seventy-one thousand, nine hundred thirty-six".
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