| Base | Representation |
|---|---|
| bin | 1011011100100111001… |
| … | …01111110010100000000 |
| 3 | 1101121020000122020200000 |
| 4 | 11232103211332110000 |
| 5 | 22421003431313443 |
| 6 | 500404330400000 |
| 7 | 40262535533550 |
| oct | 5562345762400 |
| 9 | 1347200566600 |
| 10 | 393318229248 |
| 11 | 14189498310a |
| 12 | 64289590000 |
| 13 | 2b122246639 |
| 14 | 15072a03160 |
| 15 | a36eede8d3 |
| hex | 5b9397e500 |
393318229248 has 864 divisors, whose sum is σ = 1416796932096. Its totient is φ = 106398572544.
The previous prime is 393318229243. The next prime is 393318229289. The reversal of 393318229248 is 842922813393.
393318229248 is a `hidden beast` number, since 39 + 3 + 318 + 2 + 292 + 4 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 393318229194 and 393318229203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (393318229243) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1732679311 + ... + 1732679537.
It is an arithmetic number, because the mean of its divisors is an integer number (1639811264).
Almost surely, 2393318229248 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 393318229248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708398466048).
393318229248 is an abundant number, since it is smaller than the sum of its proper divisors (1023478702848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
393318229248 is a wasteful number, since it uses less digits than its factorization.
393318229248 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 461 (or 435 counting only the distinct ones).
The product of its digits is 4478976, while the sum is 54.
The spelling of 393318229248 in words is "three hundred ninety-three billion, three hundred eighteen million, two hundred twenty-nine thousand, two hundred forty-eight".
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