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12995334144 = 212341323131
BaseRepresentation
bin11000001101001010…
…10001000000000000
31020112200000101010000
430012211101000000
5203103301143034
65545303040000
7640015342362
oct140645210000
936480011100
1012995334144
115569588981
122628140000
1312c142a040
148b3cb2d32
15510d2e599
hex306951000

12995334144 has 520 divisors, whose sum is σ = 43957755072. Its totient is φ = 3795517440.

The previous prime is 12995334091. The next prime is 12995334173. The reversal of 12995334144 is 44143359921.

12995334144 is a `hidden beast` number, since 12 + 99 + 533 + 4 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12995334144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99200959 + ... + 99201089.

Almost surely, 212995334144 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 12995334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21978877536).

12995334144 is an abundant number, since it is smaller than the sum of its proper divisors (30962420928).

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

12995334144 is a wasteful number, since it uses less digits than its factorization.

12995334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 12995334144 in words is "twelve billion, nine hundred ninety-five million, three hundred thirty-four thousand, one hundred forty-four".