Base | Representation |
---|---|
bin | 10101110101010011… |
… | …111110010011001000 |
3 | 2020111210011010111002 |
4 | 111311103332103020 |
5 | 341002402203124 |
6 | 14434120554132 |
7 | 1456640161130 |
oct | 256523762310 |
9 | 66453133432 |
10 | 23443006664 |
11 | 9a3aa69980 |
12 | 4663022948 |
13 | 2297aaa99c |
14 | 11c5689ac0 |
15 | 92316b0ae |
hex | 5754fe4c8 |
23443006664 has 256 divisors, whose sum is σ = 62145792000. Its totient is φ = 8001884160.
The previous prime is 23443006663. The next prime is 23443006679. The reversal of 23443006664 is 46660034432.
It is a super-2 number, since 2×234430066642 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (38).
It is not an unprimeable number, because it can be changed into a prime (23443006663) 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 63 ways as a sum of consecutive naturals, for example, 11738114 + ... + 11740110.
It is an arithmetic number, because the mean of its divisors is an integer number (242757000).
Almost surely, 223443006664 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 23443006664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31072896000).
23443006664 is an abundant number, since it is smaller than the sum of its proper divisors (38702785336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23443006664 is a wasteful number, since it uses less digits than its factorization.
23443006664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2116 (or 2112 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 38.
The spelling of 23443006664 in words is "twenty-three billion, four hundred forty-three million, six thousand, six hundred sixty-four".
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