Search a number
-
+
128063404512 = 25331372833823
BaseRepresentation
bin111011101000100101…
…1000111100111100000
3110020112221220000001000
41313101023013213200
54044233212421022
6134455335112000
712152346656241
oct1672113074740
9406487800030
10128063404512
114a3474a929a
12209a0212600
13c0cb8c9c44
1462ac1d6cc8
1534e7d276ac
hex1dd12c79e0

128063404512 has 192 divisors, whose sum is σ = 377672924160. Its totient is φ = 42215427072.

The previous prime is 128063404501. The next prime is 128063404529. The reversal of 128063404512 is 215404360821.

It is a happy number.

128063404512 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 634 + 0 + 4 + 5 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33496233 + ... + 33500055.

It is an arithmetic number, because the mean of its divisors is an integer number (1967046480).

Almost surely, 2128063404512 is an apocalyptic number.

128063404512 is a gapful number since it is divisible by the number (12) 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 128063404512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188836462080).

128063404512 is an abundant number, since it is smaller than the sum of its proper divisors (249609519648).

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

128063404512 is a wasteful number, since it uses less digits than its factorization.

128063404512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 128063404512 in words is "one hundred twenty-eight billion, sixty-three million, four hundred four thousand, five hundred twelve".