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13580028441 = 3271911345053
BaseRepresentation
bin11001010010110111…
…01100101000011001
31022001102012220220100
430221123230220121
5210302441402231
610123311050013
7660345223440
oct145133545031
938042186810
1013580028441
115839632401
12276bb10909
1313855c70b5
1492b7d3d57
155473271e6
hex3296eca19

13580028441 has 24 divisors (see below), whose sum is σ = 23597712320. Its totient is φ = 7351593696.

The previous prime is 13580028433. The next prime is 13580028443. The reversal of 13580028441 is 14482008531.

13580028441 is a `hidden beast` number, since 13 + 580 + 0 + 28 + 4 + 41 = 666.

13580028441 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 13580028441 - 23 = 13580028433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13580028396 and 13580028405.

It is not an unprimeable number, because it can be changed into a prime (13580028443) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5671330 + ... + 5673723.

Almost surely, 213580028441 is an apocalyptic number.

It is an amenable number.

13580028441 is a deficient number, since it is larger than the sum of its proper divisors (10017683879).

13580028441 is a wasteful number, since it uses less digits than its factorization.

13580028441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345085 (or 11345082 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 13580028441 in words is "thirteen billion, five hundred eighty million, twenty-eight thousand, four hundred forty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 11345053 34035159 79415371 102105477 215556007 238246113 646668021 714738339 1508892049 1940004063 4526676147 13580028441