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136010568240 = 243251915165843
BaseRepresentation
bin111111010101011011…
…1001001001000110000
3111000001210212202012100
41332222313021020300
54212022201140430
6142252110300400
712553316516631
oct1765267111060
9430053782170
10136010568240
1152755468aa8
12224397b7700
13ca972009a1
146823869888
153810887960
hex1faadc9230

136010568240 has 240 divisors, whose sum is σ = 484000807680. Its totient is φ = 34132492800.

The previous prime is 136010568229. The next prime is 136010568263. The reversal of 136010568240 is 42865010631.

It is a happy number.

136010568240 is a `hidden beast` number, since 1 + 3 + 60 + 10 + 568 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 136010568195 and 136010568204.

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, 2032759 + ... + 2098601.

It is an arithmetic number, because the mean of its divisors is an integer number (2016670032).

Almost surely, 2136010568240 is an apocalyptic number.

136010568240 is a gapful number since it is divisible by the number (10) 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 136010568240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242000403840).

136010568240 is an abundant number, since it is smaller than the sum of its proper divisors (347990239440).

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

136010568240 is a wasteful number, since it uses less digits than its factorization.

136010568240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66032 (or 66023 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 136010568240 its reverse (42865010631), we get a palindrome (178875578871).

The spelling of 136010568240 in words is "one hundred thirty-six billion, ten million, five hundred sixty-eight thousand, two hundred forty".