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12593183064 = 23372116115959
BaseRepresentation
bin10111011101001110…
…01011100101011000
31012111122021222112120
423232213023211120
5201242323324224
65441335341240
7624033201300
oct135647134530
935448258476
1012593183064
115382583910
122535521820
131259014617
1487670c600
154da893779
hex2ee9cb958

12593183064 has 192 divisors, whose sum is σ = 40609900800. Its totient is φ = 3217132800.

The previous prime is 12593183059. The next prime is 12593183117. The reversal of 12593183064 is 46038139521.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 781117 + ... + 797075.

It is an arithmetic number, because the mean of its divisors is an integer number (211509900).

Almost surely, 212593183064 is an apocalyptic number.

12593183064 is a gapful number since it is divisible by the number (14) 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 12593183064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20304950400).

12593183064 is an abundant number, since it is smaller than the sum of its proper divisors (28016717736).

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

12593183064 is a wasteful number, since it uses less digits than its factorization.

12593183064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16054 (or 16043 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 12593183064 in words is "twelve billion, five hundred ninety-three million, one hundred eighty-three thousand, sixty-four".