Search a number
-
+
12844946944 = 2952347969
BaseRepresentation
bin10111111011001111…
…00101011000000000
31020011012000220122201
423331213211120000
5202301301300234
65522331442544
7633211150624
oct137547453000
936135026581
1012844946944
1154a1701835
1225a58b6454
131299223b2b
1489bd27184
15502a25314
hex2fd9e5600

12844946944 has 40 divisors (see below), whose sum is σ = 25714414440. Its totient is φ = 6410059776.

The previous prime is 12844946927. The next prime is 12844946953. The reversal of 12844946944 is 44964944821.

12844946944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 243792 + ... + 291760.

It is an arithmetic number, because the mean of its divisors is an integer number (642860361).

Almost surely, 212844946944 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 12844946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12857207220).

12844946944 is an abundant number, since it is smaller than the sum of its proper divisors (12869467496).

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

12844946944 is an frugal number, since it uses more digits than its factorization.

12844946944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48510 (or 48494 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 55.

The spelling of 12844946944 in words is "twelve billion, eight hundred forty-four million, nine hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 523 1046 2092 4184 8368 16736 33472 47969 66944 95938 133888 191876 267776 383752 767504 1535008 3070016 6140032 12280064 24560128 25087787 50175574 100351148 200702296 401404592 802809184 1605618368 3211236736 6422473472 12844946944