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68143428864 = 283271719103127
BaseRepresentation
bin111111011101101010…
…100011010100000000
320111220000212212001200
4333131222203110000
52104024204210424
651145450101200
74631441405550
oct773552432400
9214800785050
1068143428864
1126999209765
121125911a800
13656c90b254
143426215160
151b8c6308c9
hexfddaa3500

68143428864 has 864 divisors, whose sum is σ = 254683054080. Its totient is φ = 17055940608.

The previous prime is 68143428839. The next prime is 68143428877. The reversal of 68143428864 is 46882434186.

It is a happy number.

68143428864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68143428864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 536562369 + ... + 536562495.

Almost surely, 268143428864 is an apocalyptic number.

68143428864 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 68143428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127341527040).

68143428864 is an abundant number, since it is smaller than the sum of its proper divisors (186539625216).

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

68143428864 is a wasteful number, since it uses less digits than its factorization.

68143428864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 278 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 68143428864 in words is "sixty-eight billion, one hundred forty-three million, four hundred twenty-eight thousand, eight hundred sixty-four".