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128092078080 = 21734519127
BaseRepresentation
bin111011101001011100…
…0100000000000000000
3110020121221211202210000
41313102320200000000
54044313032444310
6134502241440000
712153145461531
oct1672270400000
9406557752700
10128092078080
114a36170315a
12209a9940000
13c104829255
1462b1d3c688
1534ea5dd4c0
hex1dd2e20000

128092078080 has 720 divisors, whose sum is σ = 487208494080. Its totient is φ = 32105299968.

The previous prime is 128092078031. The next prime is 128092078111. The reversal of 128092078080 is 80870290821.

It is a happy number.

128092078080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1008598977 + ... + 1008599103.

It is an arithmetic number, because the mean of its divisors is an integer number (676678464).

Almost surely, 2128092078080 is an apocalyptic number.

128092078080 is a gapful number since it is divisible by the number (10) 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 128092078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243604247040).

128092078080 is an abundant number, since it is smaller than the sum of its proper divisors (359116416000).

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

128092078080 is an frugal number, since it uses more digits than its factorization.

128092078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 128092078080 in words is "one hundred twenty-eight billion, ninety-two million, seventy-eight thousand, eighty".