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12288134208 = 2637174711443
BaseRepresentation
bin10110111000110111…
…00000110001000000
31011201101021220011210
423130123200301000
5200131230243313
65351201210120
7613340263110
oct133433406100
934641256153
1012288134208
115236371119
12246b330940
13120aa6973c
14847dc3040
154bdbd89c3
hex2dc6e0c40

12288134208 has 224 divisors, whose sum is σ = 40183271424. Its totient is φ = 3233783808.

The previous prime is 12288134189. The next prime is 12288134239. The reversal of 12288134208 is 80243188221.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068135 + ... + 1079577.

Almost surely, 212288134208 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 12288134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20091635712).

12288134208 is an abundant number, since it is smaller than the sum of its proper divisors (27895137216).

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

12288134208 is a wasteful number, since it uses less digits than its factorization.

12288134208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11529 (or 11519 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 12288134208 in words is "twelve billion, two hundred eighty-eight million, one hundred thirty-four thousand, two hundred eight".