Search a number
-
+
12244848000 = 273537113313
BaseRepresentation
bin10110110011101100…
…11000110110000000
31011121100211201122220
423121312120312000
5200034140114000
65343013331040
7612303330210
oct133166306600
934540751586
1012244848000
1152139965a0
122458936a80
131201ac21b8
14842356240
154b9ed81a0
hex2d9d98d80

12244848000 has 512 divisors, whose sum is σ = 50623073280. Its totient is φ = 2543616000.

The previous prime is 12244847999. The next prime is 12244848017. The reversal of 12244848000 is 84844221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 3694344 + ... + 3697656.

It is an arithmetic number, because the mean of its divisors is an integer number (98873190).

Almost surely, 212244848000 is an apocalyptic number.

12244848000 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 12244848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25311536640).

12244848000 is an abundant number, since it is smaller than the sum of its proper divisors (38378225280).

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

12244848000 is a wasteful number, since it uses less digits than its factorization.

12244848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The spelling of 12244848000 in words is "twelve billion, two hundred forty-four million, eight hundred forty-eight thousand".