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26435434641012 = 22325385713634581
BaseRepresentation
bin1100000001010111110101…
…01100001111011001110100
310110121012110220002200212100
412000223322230033121310
511431104232232003022
6132120134312422100
75365616466640305
oct600537254173164
9113535426080770
1026435434641012
118472228759071
122b6b4456a7930
131199b0a255667
146756a633a7ac
1530c9a65001ac
hex180afab0f674

26435434641012 has 36 divisors (see below), whose sum is σ = 66824149879396. Its totient is φ = 8811647285760.

The previous prime is 26435434640911. The next prime is 26435434641017. The reversal of 26435434641012 is 21014643453462.

26435434641012 is a `hidden beast` number, since 2 + 6 + 43 + 5 + 43 + 464 + 101 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5814444851856 + 20620989789156 = 2411316^2 + 4541034^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26435434641017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4878439 + ... + 8756142.

Almost surely, 226435434641012 is an apocalyptic number.

It is an amenable number.

26435434641012 is an abundant number, since it is smaller than the sum of its proper divisors (40388715238384).

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

26435434641012 is a wasteful number, since it uses less digits than its factorization.

26435434641012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13688448 (or 13688443 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 26435434641012 in words is "twenty-six trillion, four hundred thirty-five billion, four hundred thirty-four million, six hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53857 107714 161571 215428 323142 484713 646284 969426 1938852 13634581 27269162 40903743 54538324 81807486 122711229 163614972 245422458 490844916 734317628917 1468635257834 2202952886751 2937270515668 4405905773502 6608858660253 8811811547004 13217717320506 26435434641012