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128320704512 = 21272111317263
BaseRepresentation
bin111011110000010000…
…0101001000000000000
3110021012220001012021122
41313200200221000000
54100300100021022
6134541050011412
712161622664100
oct1674040510000
9407186035248
10128320704512
114a469768620
1220a52416b68
13c13ccc7270
1462d4453200
1535106ee742
hex1de0829000

128320704512 has 624 divisors, whose sum is σ = 372732700032. Its totient is φ = 43269488640.

The previous prime is 128320704511. The next prime is 128320704559. The reversal of 128320704512 is 215407023821.

128320704512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (128320704511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487911293 + ... + 487911555.

Almost surely, 2128320704512 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 128320704512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186366350016).

128320704512 is an abundant number, since it is smaller than the sum of its proper divisors (244411995520).

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

128320704512 is a wasteful number, since it uses less digits than its factorization.

128320704512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 128320704512 in words is "one hundred twenty-eight billion, three hundred twenty million, seven hundred four thousand, five hundred twelve".