Search a number
-
+
12483443840 = 27573194173
BaseRepresentation
bin10111010000001001…
…00011110010000000
31012012222210122121212
423220010203302000
5201031230200330
65422415305252
7621231344000
oct135004436200
935188718555
1012483443840
11532664013a
12250481b228
13123c370b7a
14865d04000
154d0e18295
hex2e8123c80

12483443840 has 512 divisors, whose sum is σ = 38041920000. Its totient is φ = 3901685760.

The previous prime is 12483443839. The next prime is 12483443857. The reversal of 12483443840 is 4834438421.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171006044 + ... + 171006116.

It is an arithmetic number, because the mean of its divisors is an integer number (74300625).

Almost surely, 212483443840 is an apocalyptic number.

12483443840 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 12483443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19020960000).

12483443840 is an abundant number, since it is smaller than the sum of its proper divisors (25558476160).

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

12483443840 is an equidigital number, since it uses as much as digits as its factorization.

12483443840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 41.

The spelling of 12483443840 in words is "twelve billion, four hundred eighty-three million, four hundred forty-three thousand, eight hundred forty".