Base | Representation |
---|---|
bin | 10011100111001101… |
… | …000101001000000000 |
3 | 2000100121220122201210 |
4 | 103213031011020000 |
5 | 321112030204234 |
6 | 13401351530120 |
7 | 1343600100150 |
oct | 234715051000 |
9 | 60317818653 |
10 | 21058834944 |
11 | 8a27188424 |
12 | 40b8689940 |
13 | 1ca7b746a4 |
14 | 103ab8a760 |
15 | 833bbebe9 |
hex | 4e7345200 |
21058834944 has 160 divisors (see below), whose sum is σ = 64374558336. Its totient is φ = 5992611840.
The previous prime is 21058834931. The next prime is 21058834957. The reversal of 21058834944 is 44943885012.
It is an interprime number because it is at equal distance from previous prime (21058834931) and next prime (21058834957).
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 21058834893 and 21058834902.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 2759454 + ... + 2767074.
Almost surely, 221058834944 is an apocalyptic number.
21058834944 is a gapful number since it is divisible by the number (24) 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 21058834944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32187279168).
21058834944 is an abundant number, since it is smaller than the sum of its proper divisors (43315723392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21058834944 is an equidigital number, since it uses as much as digits as its factorization.
21058834944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7906 (or 7890 counting only the distinct ones).
The product of its (nonzero) digits is 1105920, while the sum is 48.
The spelling of 21058834944 in words is "twenty-one billion, fifty-eight million, eight hundred thirty-four thousand, nine hundred forty-four".
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