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256534136433 = 3232321881897
BaseRepresentation
bin1110111011101010100…
…0000100011001110001
3220112011022020101020100
43232322220010121301
513200340214331213
6313503344503013
724351104116131
oct3567250043161
9815138211210
10256534136433
1199882917703
124187491aa69
131b263a02703
14c5b8540ac1
156a167ae773
hex3bbaa04671

256534136433 has 12 divisors (see below), whose sum is σ = 370561193028. Its totient is φ = 171017272320.

The previous prime is 256534136429. The next prime is 256534136459. The reversal of 256534136433 is 334631435652.

256534136433 is a `hidden beast` number, since 2 + 56 + 5 + 34 + 136 + 433 = 666.

256534136433 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 111747798369 + 144786338064 = 334287^2 + 380508^2 .

It is not a de Polignac number, because 256534136433 - 22 = 256534136429 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (256534138433) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 150060 + ... + 731837.

It is an arithmetic number, because the mean of its divisors is an integer number (30880099419).

Almost surely, 2256534136433 is an apocalyptic number.

It is an amenable number.

256534136433 is a deficient number, since it is larger than the sum of its proper divisors (114027056595).

256534136433 is a wasteful number, since it uses less digits than its factorization.

256534136433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914224 (or 914221 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 45.

The spelling of 256534136433 in words is "two hundred fifty-six billion, five hundred thirty-four million, one hundred thirty-six thousand, four hundred thirty-three".

Divisors: 1 3 9 32321 96963 290889 881897 2645691 7937073 28503792937 85511378811 256534136433