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12643384440 = 2335105361537
BaseRepresentation
bin10111100011001101…
…01011110001111000
31012122010202110212210
423301212223301320
5201343201300230
65450331335120
7625212665061
oct136146536170
935563673783
1012643384440
1153a8951955
12254a2b14a0
13126654058b
1487d259568
154deeaceb0
hex2f19abc78

12643384440 has 32 divisors (see below), whose sum is σ = 37930153680. Its totient is φ = 3371569152.

The previous prime is 12643384423. The next prime is 12643384451. The reversal of 12643384440 is 4448334621.

It is a super-3 number, since 3×126433844403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52680649 + ... + 52680888.

Almost surely, 212643384440 is an apocalyptic number.

12643384440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12643384440 is an abundant number, since it is smaller than the sum of its proper divisors (25286769240).

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

12643384440 is a wasteful number, since it uses less digits than its factorization.

12643384440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105361551 (or 105361547 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 12643384440 in words is "twelve billion, six hundred forty-three million, three hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 105361537 210723074 316084611 421446148 526807685 632169222 842892296 1053615370 1264338444 1580423055 2107230740 2528676888 3160846110 4214461480 6321692220 12643384440