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12644381456 = 247971163879
BaseRepresentation
bin10111100011010100…
…11111001100010000
31012122012122010112022
423301222133030100
5201343430201311
65450404551012
7625224316610
oct136152371420
935565563468
1012644381456
1153a9472a33
12254a6b2468
1312667cc325
1487d438a40
154e01085db
hex2f1a9f310

12644381456 has 40 divisors (see below), whose sum is σ = 28286939520. Its totient is φ = 5363149824.

The previous prime is 12644381381. The next prime is 12644381461. The reversal of 12644381456 is 65418344621.

12644381456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 571076 + ... + 592803.

It is an arithmetic number, because the mean of its divisors is an integer number (707173488).

Almost surely, 212644381456 is an apocalyptic number.

12644381456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12644381456 is an abundant number, since it is smaller than the sum of its proper divisors (15642558064).

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

12644381456 is a wasteful number, since it uses less digits than its factorization.

12644381456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163991 (or 1163985 counting only the distinct ones).

The product of its digits is 552960, while the sum is 44.

The spelling of 12644381456 in words is "twelve billion, six hundred forty-four million, three hundred eighty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 2716 5432 10864 1163879 2327758 4655516 8147153 9311032 16294306 18622064 32588612 65177224 112896263 130354448 225792526 451585052 790273841 903170104 1580547682 1806340208 3161095364 6322190728 12644381456