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68038943910912 = 21032132435967257
BaseRepresentation
bin11110111100001100011010…
…00101010010110000000000
322220220110101222121120110100
433132012031011102300000
532404222224120122122
6400412354225402400
720221436312636562
oct1736061505226000
9286813358546410
1068038943910912
111a75217707aa87
12776a4a0799400
132bc70777a9c00
1412b31611d5332
157cecb093eaac
hex3de18d152c00

68038943910912 has 1584 divisors, whose sum is σ = 225551038078080. Its totient is φ = 19724545032192.

The previous prime is 68038943910901. The next prime is 68038943910929. The reversal of 68038943910912 is 21901934983086.

68038943910912 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 89 + 439 + 109 + 12 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68038943910912.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 264742972288 + ... + 264742972544.

It is an arithmetic number, because the mean of its divisors is an integer number (142393332120).

Almost surely, 268038943910912 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 68038943910912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112775519039040).

68038943910912 is an abundant number, since it is smaller than the sum of its proper divisors (157512094167168).

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

68038943910912 is a wasteful number, since it uses less digits than its factorization.

68038943910912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 68038943910912 in words is "sixty-eight trillion, thirty-eight billion, nine hundred forty-three million, nine hundred ten thousand, nine hundred twelve".