| Base | Representation |
|---|---|
| bin | 100011100110001100… |
| … | …101001100100000000 |
| 3 | 10122122202002022220100 |
| 4 | 203212030221210000 |
| 5 | 1111234241022031 |
| 6 | 25320414042400 |
| 7 | 2522113026051 |
| oct | 434614514400 |
| 9 | 118582068810 |
| 10 | 38221814016 |
| 11 | 15234243651 |
| 12 | 74a84a9400 |
| 13 | 37b185c4c9 |
| 14 | 1bc8372728 |
| 15 | eda83bde6 |
| hex | 8e6329900 |
38221814016 has 81 divisors (see below), whose sum is σ = 110229976129. Its totient is φ = 12737476608.
The previous prime is 38221813969. The next prime is 38221814027. The reversal of 38221814016 is 61041812283.
The square root of 38221814016 is 195504.
It is a perfect power (a square), and thus also a powerful number.
38221814016 is a `hidden beast` number, since 38 + 2 + 218 + 1 + 401 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 4106246400 + 34115567616 = 64080^2 + 184704^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is an unprimeable number.
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, 9382156 + ... + 9386228.
Almost surely, 238221814016 is an apocalyptic number.
38221814016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
38221814016 is the 195504-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 38221814016
38221814016 is an abundant number, since it is smaller than the sum of its proper divisors (72008162113).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38221814016 is an frugal number, since it uses more digits than its factorization.
38221814016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8168 (or 4078 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 36.
Multiplying 38221814016 by its sum of digits (36), we get a square (1375985304576 = 11730242).
38221814016 divided by its sum of digits (36) gives a square (1061717056 = 325842).
The spelling of 38221814016 in words is "thirty-eight billion, two hundred twenty-one million, eight hundred fourteen thousand, sixteen".
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