Base | Representation |
---|---|
bin | 10101101100000000… |
… | …001111110010100000 |
3 | 2020002220022001202100 |
4 | 111230000033302200 |
5 | 340142412343410 |
6 | 14410421450400 |
7 | 1453032610131 |
oct | 255400176240 |
9 | 66086261670 |
10 | 23286840480 |
11 | 996a8a5a12 |
12 | 461a870a00 |
13 | 2271630267 |
14 | 11aca37c88 |
15 | 9145be8c0 |
hex | 56c00fca0 |
23286840480 has 144 divisors (see below), whose sum is σ = 80000411400. Its totient is φ = 6168090624.
The previous prime is 23286840457. The next prime is 23286840539. The reversal of 23286840480 is 8404868232.
23286840480 is a `hidden beast` number, since 232 + 8 + 6 + 8 + 404 + 8 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 6543515664 + 16743324816 = 80892^2 + 129396^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160294 + ... + 268826.
Almost surely, 223286840480 is an apocalyptic number.
23286840480 is a gapful number since it is divisible by the number (20) 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 23286840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40000205700).
23286840480 is an abundant number, since it is smaller than the sum of its proper divisors (56713570920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23286840480 is a wasteful number, since it uses less digits than its factorization.
23286840480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 108703 (or 108692 counting only the distinct ones).
The product of its (nonzero) digits is 589824, while the sum is 45.
The spelling of 23286840480 in words is "twenty-three billion, two hundred eighty-six million, eight hundred forty thousand, four hundred eighty".
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