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134593322112 = 273612012
BaseRepresentation
bin111110101011001100…
…0110001110010000000
3110212102001002012000000
41331112120301302000
54201121342301422
6141455322000000
712503230235004
oct1752630616200
9425361065000
10134593322112
1152098470007
1222103046000
13c8cc6c4402
14672b548704
15377b237cac
hex1f56631c80

134593322112 has 168 divisors, whose sum is σ = 402353810145. Its totient is φ = 44827084800.

The previous prime is 134593322111. The next prime is 134593322167. The reversal of 134593322112 is 211223395431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

134593322112 is a `hidden beast` number, since 1 + 3 + 4 + 593 + 32 + 21 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72783406656 + 61809915456 = 269784^2 + 248616^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=259416.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134593322111) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 112067112 + ... + 112068312.

Almost surely, 2134593322112 is an apocalyptic number.

134593322112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134593322112

134593322112 is an abundant number, since it is smaller than the sum of its proper divisors (267760488033).

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

134593322112 is an frugal number, since it uses more digits than its factorization.

134593322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 1206 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 134593322112 in words is "one hundred thirty-four billion, five hundred ninety-three million, three hundred twenty-two thousand, one hundred twelve".