Base | Representation |
---|---|
bin | 10101110110010011… |
… | …011000101111110000 |
3 | 2020112221102200111120 |
4 | 111312103120233300 |
5 | 341021131130224 |
6 | 14435513142240 |
7 | 1460231364633 |
oct | 256623305760 |
9 | 66487380446 |
10 | 23459630064 |
11 | 9a49393322 |
12 | 46686ba980 |
13 | 229b37b210 |
14 | 11c7975c1a |
15 | 924851779 |
hex | 5764d8bf0 |
23459630064 has 80 divisors (see below), whose sum is σ = 65314048800. Its totient is φ = 7213022208.
The previous prime is 23459630057. The next prime is 23459630083. The reversal of 23459630064 is 46003695432.
It is a super-3 number, since 3×234596300643 (a number of 32 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 23459629998 and 23459630025.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 878542 + ... + 904850.
It is an arithmetic number, because the mean of its divisors is an integer number (816425610).
Almost surely, 223459630064 is an apocalyptic number.
23459630064 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 23459630064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32657024400).
23459630064 is an abundant number, since it is smaller than the sum of its proper divisors (41854418736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23459630064 is a wasteful number, since it uses less digits than its factorization.
23459630064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27762 (or 27756 counting only the distinct ones).
The product of its (nonzero) digits is 466560, while the sum is 42.
The spelling of 23459630064 in words is "twenty-three billion, four hundred fifty-nine million, six hundred thirty thousand, sixty-four".
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