The "x" format specifier is for 32-bit numbers; you need to use either "qx" or "qX" (depending on whether you want the letter values to be uppercase or not). These are the formatters for unsigned long long values, see:
https://developer.apple.com/library/mac/#documentation/Cocoa/Conceptual/Strings/Articles/formatSpecifiers.html#//apple_ref/doc/uid/TP40004265-SW1
Next, you should not pass a string as you have done above directly to NSLog - this can cause a crash.
NSLog(string); // bad!!
NSLog(@"%@", string); // good
So if your value comes as a string, you'll want to do this:
NSString *longNumber = @"1393443048683555706";
NSLog(@"%qx", [longNumber longLongValue]);
If the string value can't be coerced to a number, longLongValue will return 0. I'll leave it to you do handle the error (and bounds) checking - see NSString for details.
If you want to save the hex value as a string, do this:
NSString *hexRepresentation = [NSString stringWithFormat:@"%qx", [longNumber longLongValue]];
Again, best to take care for error handling.