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68843450880 = 293351923189
BaseRepresentation
bin100000000011101100…
…0111011001000000000
320120200211002122202000
41000013120323020000
52111442410412010
651343134024000
74655001451221
oct1000730731000
9216624078660
1068843450880
1127218373656
1211413648000
136651957669
143491197248
151bcdd097c0
hex100763b200

68843450880 has 960 divisors, whose sum is σ = 269404185600. Its totient is φ = 16641884160.

The previous prime is 68843450827. The next prime is 68843450939. The reversal of 68843450880 is 8805434886.

68843450880 is a `hidden beast` number, since 6 + 88 + 434 + 50 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 773521876 + ... + 773521964.

It is an arithmetic number, because the mean of its divisors is an integer number (280629360).

Almost surely, 268843450880 is an apocalyptic number.

68843450880 is a gapful number since it is divisible by the number (60) 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 68843450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134702092800).

68843450880 is an abundant number, since it is smaller than the sum of its proper divisors (200560734720).

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

68843450880 is a wasteful number, since it uses less digits than its factorization.

68843450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 68843450880 in words is "sixty-eight billion, eight hundred forty-three million, four hundred fifty thousand, eight hundred eighty".