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2012347866816 = 263272137233549
BaseRepresentation
bin11101010010001001010…
…001111001111011000000
321010101012222112110212200
4131102021101321323000
5230432242023214231
64140243154353200
7265246566432540
oct35221121717300
97111188473780
102012347866816
117064829aa9a1
1228600b28b800
131179c07b6141
146d580781320
153752c064be6
hex1d489479ec0

2012347866816 has 168 divisors, whose sum is σ = 6595149319200. Its totient is φ = 574685024256.

The previous prime is 2012347866787. The next prime is 2012347866847. The reversal of 2012347866816 is 6186687432102.

It is a happy number.

2012347866816 is a `hidden beast` number, since 20 + 12 + 3 + 478 + 66 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 8499610 + ... + 8733158.

Almost surely, 22012347866816 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 2012347866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297574659600).

2012347866816 is an abundant number, since it is smaller than the sum of its proper divisors (4582801452384).

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

2012347866816 is a wasteful number, since it uses less digits than its factorization.

2012347866816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235711 (or 235698 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2012347866816 in words is "two trillion, twelve billion, three hundred forty-seven million, eight hundred sixty-six thousand, eight hundred sixteen".