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13256520165 = 3257291451179
BaseRepresentation
bin11000101100010011…
…00111000111100101
31021012212110222222100
430112021213013211
5204122132121130
610031233122313
7646336363560
oct142611470745
937185428870
1013256520165
115692a61899
12269b6b9399
131333588095
148da8614d7
15528c22c60
hex3162671e5

13256520165 has 48 divisors (see below), whose sum is σ = 27166089600. Its totient is φ = 5851149696.

The previous prime is 13256520157. The next prime is 13256520203. The reversal of 13256520165 is 56102565231.

13256520165 is a `hidden beast` number, since 1 + 32 + 565 + 2 + 0 + 1 + 65 = 666.

13256520165 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13256520165 - 23 = 13256520157 is a prime.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 716455 + ... + 734724.

It is an arithmetic number, because the mean of its divisors is an integer number (565960200).

Almost surely, 213256520165 is an apocalyptic number.

13256520165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13256520165 is an abundant number, since it is smaller than the sum of its proper divisors (13909569435).

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

13256520165 is a wasteful number, since it uses less digits than its factorization.

13256520165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451226 (or 1451223 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 13256520165 in words is "thirteen billion, two hundred fifty-six million, five hundred twenty thousand, one hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 3045 9135 1451179 4353537 7255895 10158253 13060611 21767685 30474759 42084191 50791265 65303055 91424277 126252573 152373795 210420955 294589337 378757719 457121385 631262865 883768011 1472946685 1893788595 2651304033 4418840055 13256520165