Base | Representation |
---|---|
bin | 10101100100101101… |
… | …010110010110110100 |
3 | 2012210100222210021100 |
4 | 111210231112112310 |
5 | 334420044234012 |
6 | 14350330250100 |
7 | 1450015354242 |
oct | 254455262664 |
9 | 65710883240 |
10 | 23164446132 |
11 | 99077a9263 |
12 | 45a5886930 |
13 | 2252178579 |
14 | 119a697792 |
15 | 9089948dc |
hex | 564b565b4 |
23164446132 has 72 divisors (see below), whose sum is σ = 59917044096. Its totient is φ = 7542457344.
The previous prime is 23164446121. The next prime is 23164446133.
23164446132 is a `hidden beast` number, since 2 + 3 + 1 + 644 + 4 + 6 + 1 + 3 + 2 = 666.
23164446132 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×231644461322 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23164446133) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871828 + ... + 898004.
It is an arithmetic number, because the mean of its divisors is an integer number (832181168).
Almost surely, 223164446132 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 23164446132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29958522048).
23164446132 is an abundant number, since it is smaller than the sum of its proper divisors (36752597964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23164446132 is a wasteful number, since it uses less digits than its factorization.
23164446132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 26757 (or 26752 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
It can be divided in two parts, 2316444 and 6132, that added together give a square (2322576 = 15242).
The spelling of 23164446132 in words is "twenty-three billion, one hundred sixty-four million, four hundred forty-six thousand, one hundred thirty-two".
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