Base | Representation |
---|---|
bin | 1010101010111010001000… |
… | …11111111000011101000000 |
3 | 10002002012010012221200201211 |
4 | 11111131010133320131000 |
5 | 11033420402204441212 |
6 | 121523245031135504 |
7 | 4641154363203130 |
oct | 525350437703500 |
9 | 102065105850654 |
10 | 23464555546432 |
11 | 7527297982680 |
12 | 276b708214594 |
13 | 101290c933750 |
14 | 5b1994c14ac0 |
15 | 2aa5786379a7 |
hex | 1557447f8740 |
23464555546432 has 224 divisors, whose sum is σ = 62537237489664. Its totient is φ = 8436130560000.
The previous prime is 23464555546417. The next prime is 23464555546441.
It is a happy number.
23464555546432 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (224).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208215733 + ... + 208328395.
It is an arithmetic number, because the mean of its divisors is an integer number (279184095936).
Almost surely, 223464555546432 is an apocalyptic number.
23464555546432 is a gapful number since it is divisible by the number (22) 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 23464555546432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31268618744832).
23464555546432 is an abundant number, since it is smaller than the sum of its proper divisors (39072681943232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23464555546432 is a wasteful number, since it uses less digits than its factorization.
23464555546432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 115957 (or 115947 counting only the distinct ones).
The product of its digits is 207360000, while the sum is 58.
The spelling of 23464555546432 in words is "twenty-three trillion, four hundred sixty-four billion, five hundred fifty-five million, five hundred forty-six thousand, four hundred thirty-two".
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