Search a number
-
+
12439525728 = 253724389691
BaseRepresentation
bin10111001010111010…
…00001100101100000
31012002221011101022010
423211131001211200
5200434004310403
65414210112520
7620156136600
oct134535014540
935087141263
1012439525728
115303873883
1224b1b7b740
131233234b16
14860150c00
154cc140603
hex2e5741960

12439525728 has 288 divisors, whose sum is σ = 39361956480. Its totient is φ = 3427522560.

The previous prime is 12439525691. The next prime is 12439525757. The reversal of 12439525728 is 82752593421.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18001863 + ... + 18002553.

It is an arithmetic number, because the mean of its divisors is an integer number (136673460).

Almost surely, 212439525728 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 12439525728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19680978240).

12439525728 is an abundant number, since it is smaller than the sum of its proper divisors (26922430752).

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

12439525728 is a wasteful number, since it uses less digits than its factorization.

12439525728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 835 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The spelling of 12439525728 in words is "twelve billion, four hundred thirty-nine million, five hundred twenty-five thousand, seven hundred twenty-eight".