Base | Representation |
---|---|
bin | 10101100011011111… |
… | …100101010101101000 |
3 | 2012201221122002010012 |
4 | 111203133211111220 |
5 | 334344334412024 |
6 | 14344321311052 |
7 | 1446350160233 |
oct | 254337452550 |
9 | 65657562105 |
10 | 23144060264 |
11 | 98a7245036 |
12 | 459aa95488 |
13 | 224ab8b620 |
14 | 1197aac41a |
15 | 906cb950e |
hex | 5637e5568 |
23144060264 has 64 divisors (see below), whose sum is σ = 47549196240. Its totient is φ = 10495733760.
The previous prime is 23144060263. The next prime is 23144060297. The reversal of 23144060264 is 46206044132.
It can be written as a sum of positive squares in 8 ways, for example, as 2015112100 + 21128948164 = 44890^2 + 145358^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 23144060264.
It is not an unprimeable number, because it can be changed into a prime (23144060263) by changing a digit.
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, 11272262 + ... + 11274314.
Almost surely, 223144060264 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 23144060264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774598120).
23144060264 is an abundant number, since it is smaller than the sum of its proper divisors (24405135976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23144060264 is a wasteful number, since it uses less digits than its factorization.
23144060264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3910 (or 3906 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 32.
The spelling of 23144060264 in words is "twenty-three billion, one hundred forty-four million, sixty thousand, two hundred sixty-four".
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