Search a number
-
+
12854825776 = 2413416132459
BaseRepresentation
bin10111111100011010…
…10001001100110000
31020011212121210212101
423332031101030300
5202311313411101
65523323310144
7633361134112
oct137615211460
936155553771
1012854825776
1154a7239961
1225a907b354
13129b2a24b0
1489d3793b2
15503827401
hex2fe351330

12854825776 has 80 divisors (see below), whose sum is σ = 27532300320. Its totient is φ = 5776496640.

The previous prime is 12854825773. The next prime is 12854825807. The reversal of 12854825776 is 67752845821.

12854825776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12854825773) 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 15 ways as a sum of consecutive naturals, for example, 5226435 + ... + 5228893.

It is an arithmetic number, because the mean of its divisors is an integer number (344153754).

Almost surely, 212854825776 is an apocalyptic number.

12854825776 is a gapful number since it is divisible by the number (16) 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 12854825776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13766150160).

12854825776 is an abundant number, since it is smaller than the sum of its proper divisors (14677474544).

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

12854825776 is a wasteful number, since it uses less digits than its factorization.

12854825776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3128 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 55.

The spelling of 12854825776 in words is "twelve billion, eight hundred fifty-four million, eight hundred twenty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 613 656 1066 1226 2132 2452 2459 4264 4904 4918 7969 8528 9808 9836 15938 19672 25133 31876 31967 39344 50266 63752 63934 100532 100819 127504 127868 201064 201638 255736 326729 402128 403276 511472 653458 806552 1306916 1310647 1507367 1613104 2613832 2621294 3014734 5227664 5242588 6029468 10485176 12058936 19595771 20970352 24117872 39191542 61802047 78383084 123604094 156766168 247208188 313532336 494416376 803426611 988832752 1606853222 3213706444 6427412888 12854825776