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212008425492096 = 27323074547131837
BaseRepresentation
bin110000001101001000001110…
…111001000000111010000000
31000210122210210200202111200200
4300031020032321000322000
5210242021223411221341
62030523154235045200
762441050264664112
oct6015101671007200
91023583720674620
10212008425492096
11616092a5162062
121b9407a08a0800
13913b4023ba33c
143a4d3965c93b2
151979c5ba06db6
hexc0d20ee40e80

212008425492096 has 192 divisors, whose sum is σ = 612202799688480. Its totient is φ = 70423255885824.

The previous prime is 212008425492049. The next prime is 212008425492133. The reversal of 212008425492096 is 690294524800212.

212008425492096 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 0 + 8 + 4 + 2 + 549 + 2 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1608044290 + ... + 1608176126.

Almost surely, 2212008425492096 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 212008425492096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306101399844240).

212008425492096 is an abundant number, since it is smaller than the sum of its proper divisors (400194374196384).

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

212008425492096 is a wasteful number, since it uses less digits than its factorization.

212008425492096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136711 (or 136696 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 212008425492096 in words is "two hundred twelve trillion, eight billion, four hundred twenty-five million, four hundred ninety-two thousand, ninety-six".