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212383874057472 = 2834133721293717
BaseRepresentation
bin110000010010100101111001…
…010111101000010100000000
31000211222200220100110202220000
4300102211321113220110000
5210314144133224314342
62031411445500520000
762510141250066405
oct6022457127502400
91024880810422800
10212383874057472
116174354a084217
121b9a1501850000
139167937408b70
143a63611c0c2ac
1519848d2cd644c
hexc129795e8500

212383874057472 has 360 divisors, whose sum is σ = 700437518914056. Its totient is φ = 63582695276544.

The previous prime is 212383874057449. The next prime is 212383874057501. The reversal of 212383874057472 is 274750478383212.

212383874057472 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 83 + 87 + 4 + 0 + 5 + 7 + 472 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70464876880896 + 141918997176576 = 8394336^2 + 11912976^2 .

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 672843 + ... + 20620874.

Almost surely, 2212383874057472 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 212383874057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350218759457028).

212383874057472 is an abundant number, since it is smaller than the sum of its proper divisors (488053644856584).

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

212383874057472 is a wasteful number, since it uses less digits than its factorization.

212383874057472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21293795 (or 21293772 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 212383874057472 in words is "two hundred twelve trillion, three hundred eighty-three billion, eight hundred seventy-four million, fifty-seven thousand, four hundred seventy-two".