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68353111135386 = 233711171396956809
BaseRepresentation
bin11111000101010101100101…
…11010001001010010011010
322222000111022211200011122000
433202222302322021102122
532424344132422313021
6401212552531341430
720253230546166540
oct1742526272112232
9288014284604560
1068353111135386
111a863434301760
1277bb35a751876
132c1a89476757c
1412c4445addd90
157d804bc64b26
hex3e2ab2e8949a

68353111135386 has 256 divisors, whose sum is σ = 201958977024000. Its totient is φ = 16589482629120.

The previous prime is 68353111135367. The next prime is 68353111135391.

68353111135386 is a `hidden beast` number, since 6 + 8 + 3 + 531 + 11 + 13 + 5 + 3 + 86 = 666.

68353111135386 is nontrivially palindromic in base 10.

68353111135386 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 6346950 + ... + 13303758.

It is an arithmetic number, because the mean of its divisors is an integer number (788902254000).

Almost surely, 268353111135386 is an apocalyptic number.

68353111135386 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 68353111135386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100979488512000).

68353111135386 is an abundant number, since it is smaller than the sum of its proper divisors (133605865888614).

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

68353111135386 is a wasteful number, since it uses less digits than its factorization.

68353111135386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956994 (or 6956988 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 68353111135386 in words is "sixty-eight trillion, three hundred fifty-three billion, one hundred eleven million, one hundred thirty-five thousand, three hundred eighty-six".