Base | Representation |
---|---|
bin | 10101110010010011… |
… | …110110100101001000 |
3 | 2020101021101102002000 |
4 | 111302103312211020 |
5 | 340402004042100 |
6 | 14425121311000 |
7 | 1455456121350 |
oct | 256223664510 |
9 | 66337342060 |
10 | 23392643400 |
11 | 9a145a0245 |
12 | 464a195460 |
13 | 228a526139 |
14 | 11bcad9b60 |
15 | 91da1d900 |
hex | 5724f6948 |
23392643400 has 384 divisors, whose sum is σ = 95060582400. Its totient is φ = 5174150400.
The previous prime is 23392643389. The next prime is 23392643401. The reversal of 23392643400 is 434629332.
23392643400 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 2 + 643 + 4 + 0 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (23392643401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1161819 + ... + 1181781.
It is an arithmetic number, because the mean of its divisors is an integer number (247553600).
Almost surely, 223392643400 is an apocalyptic number.
23392643400 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 23392643400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47530291200).
23392643400 is an abundant number, since it is smaller than the sum of its proper divisors (71667939000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23392643400 is a wasteful number, since it uses less digits than its factorization.
23392643400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20026 (or 20011 counting only the distinct ones).
The product of its (nonzero) digits is 93312, while the sum is 36.
The spelling of 23392643400 in words is "twenty-three billion, three hundred ninety-two million, six hundred forty-three thousand, four hundred".
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