Search a number
-
+
128943012500 = 225565315797
BaseRepresentation
bin111100000010110011…
…0100011101010010100
3110022211021000201100122
41320011212203222110
54103033402400000
6135122520131112
712213220344101
oct1700546435224
9408737021318
10128943012500
114a758a72845
1220ba6906a98
13c20bc03943
146352d65aa8
15354a177085
hex1e059a3a94

128943012500 has 72 divisors (see below), whose sum is σ = 282494591064. Its totient is φ = 51494960000.

The previous prime is 128943012463. The next prime is 128943012503. The reversal of 128943012500 is 5210349821.

It can be written as a sum of positive squares in 12 ways, for example, as 128911157764 + 31854736 = 359042^2 + 5644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128943012503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8154602 + ... + 8170398.

It is an arithmetic number, because the mean of its divisors is an integer number (3923535987).

Almost surely, 2128943012500 is an apocalyptic number.

128943012500 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 128943012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141247295532).

128943012500 is an abundant number, since it is smaller than the sum of its proper divisors (153551578564).

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

128943012500 is an equidigital number, since it uses as much as digits as its factorization.

128943012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16479 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 128943012500 in words is "one hundred twenty-eight billion, nine hundred forty-three million, twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 653 1250 1306 2500 2612 3125 3265 6250 6530 12500 13060 15797 16325 31594 32650 63188 65300 78985 81625 157970 163250 315940 326500 394925 408125 789850 816250 1579700 1632500 1974625 2040625 3949250 4081250 7898500 8162500 9873125 10315441 19746250 20630882 39492500 41261764 49365625 51577205 98731250 103154410 197462500 206308820 257886025 515772050 1031544100 1289430125 2578860250 5157720500 6447150625 12894301250 25788602500 32235753125 64471506250 128943012500