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12908863008 = 253244822441
BaseRepresentation
bin11000000010110110…
…11001111000100000
31020022122022012000100
430001123121320200
5202414132104013
65532533422400
7634615345056
oct140133317040
936278265010
1012908863008
115524797928
12260319aa00
1312a95423a2
148a66041d6
1550844d473
hex3016d9e20

12908863008 has 36 divisors (see below), whose sum is σ = 36709579998. Its totient is φ = 4302954240.

The previous prime is 12908863007. The next prime is 12908863013. The reversal of 12908863008 is 80036880921.

12908863008 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 8 + 8 + 630 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12106160784 + 802702224 = 110028^2 + 28332^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12908863007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22410933 + ... + 22411508.

Almost surely, 212908863008 is an apocalyptic number.

12908863008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12908863008 is an abundant number, since it is smaller than the sum of its proper divisors (23800716990).

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

12908863008 is a wasteful number, since it uses less digits than its factorization.

12908863008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44822457 (or 44822446 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12908863008 in words is "twelve billion, nine hundred eight million, eight hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44822441 89644882 134467323 179289764 268934646 358579528 403401969 537869292 717159056 806803938 1075738584 1434318112 1613607876 2151477168 3227215752 4302954336 6454431504 12908863008