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668383233984 = 2635234783479
BaseRepresentation
bin10011011100111101011…
…11101100011111000000
32100220012202222021100000
421232132233230133000
541422322101441414
61231015004200000
766201105515064
oct11563657543700
92326182867300
10668383233984
11238506a02404
12a9654239000
134b04a14b97b
14244c827daa4
15125bd56bb09
hex9b9ebec7c0

668383233984 has 672 divisors, whose sum is σ = 2147227729920. Its totient is φ = 205630368768.

The previous prime is 668383233979. The next prime is 668383233989. The reversal of 668383233984 is 489332383866.

It is an interprime number because it is at equal distance from previous prime (668383233979) and next prime (668383233989).

It is a super-2 number, since 2×6683832339842 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668383233989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1395371857 + ... + 1395372335.

It is an arithmetic number, because the mean of its divisors is an integer number (3195279360).

Almost surely, 2668383233984 is an apocalyptic number.

668383233984 is a gapful number since it is divisible by the number (64) 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 668383233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073613864960).

668383233984 is an abundant number, since it is smaller than the sum of its proper divisors (1478844495936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

668383233984 is a wasteful number, since it uses less digits than its factorization.

668383233984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 637 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 668383233984 in words is "six hundred sixty-eight billion, three hundred eighty-three million, two hundred thirty-three thousand, nine hundred eighty-four".