Base | Representation |
---|---|
bin | 10110010001111100… |
… | …101000100100000000 |
3 | 2021202021011001002111 |
4 | 112101330220210000 |
5 | 342443344140314 |
6 | 14553522025104 |
7 | 1504562531200 |
oct | 262174504400 |
9 | 67667131074 |
10 | 23923427584 |
11 | a167173261 |
12 | 4777aa8194 |
13 | 2343499114 |
14 | 122d3c6400 |
15 | 950417ec4 |
hex | 591f28900 |
23923427584 has 81 divisors (see below), whose sum is σ = 55590131961. Its totient is φ = 10245473280.
The previous prime is 23923427581. The next prime is 23923427597. The reversal of 23923427584 is 48572432932.
The square root of 23923427584 is 154672.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 10872649984 + 13050777600 = 104272^2 + 114240^2 .
It is a Harshad number since it is a multiple of its sum of digits (49).
It is not an unprimeable number, because it can be changed into a prime (23923427581) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17322574 + ... + 17323954.
Almost surely, 223923427584 is an apocalyptic number.
23923427584 is the 154672-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23923427584
23923427584 is an abundant number, since it is smaller than the sum of its proper divisors (31666704377).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23923427584 is an frugal number, since it uses more digits than its factorization.
23923427584 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2792 (or 1390 counting only the distinct ones).
The product of its digits is 2903040, while the sum is 49.
Multiplying 23923427584 by its sum of digits (49), we get a square (1172247951616 = 10827042).
23923427584 divided by its sum of digits (49) gives a square (488233216 = 220962).
The spelling of 23923427584 in words is "twenty-three billion, nine hundred twenty-three million, four hundred twenty-seven thousand, five hundred eighty-four".
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