Base | Representation |
---|---|
bin | 10101110111110101… |
… | …111010100000000000 |
3 | 2020121202000220100210 |
4 | 111313311322200000 |
5 | 341044234132212 |
6 | 14442234514120 |
7 | 1460664050202 |
oct | 256765724000 |
9 | 66552026323 |
10 | 23485458432 |
11 | 9a61a24587 |
12 | 4675295940 |
13 | 22a3822487 |
14 | 11cb17a772 |
15 | 926c5453c |
hex | 577d7a800 |
23485458432 has 96 divisors (see below), whose sum is σ = 62707357440. Its totient is φ = 7816642560.
The previous prime is 23485458427. The next prime is 23485458439.
23485458432 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×234854584322 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is not an unprimeable number, because it can be changed into a prime (23485458439) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4673073 + ... + 4678095.
It is an arithmetic number, because the mean of its divisors is an integer number (653201640).
Almost surely, 223485458432 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 23485458432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31353678720).
23485458432 is an abundant number, since it is smaller than the sum of its proper divisors (39221899008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23485458432 is an equidigital number, since it uses as much as digits as its factorization.
23485458432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5809 (or 5789 counting only the distinct ones).
The product of its digits is 3686400, while the sum is 48.
The spelling of 23485458432 in words is "twenty-three billion, four hundred eighty-five million, four hundred fifty-eight thousand, four hundred thirty-two".
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