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13530344985 = 3251181254593
BaseRepresentation
bin11001001100111100…
…01010111000011001
31021220221201202000100
430212132022320121
5210202232014420
610114334130013
7656203014633
oct144636127031
937827652010
1013530344985
1158135884a3
122757350909
13137821cac1
14924d7da53
15542cb1190
hex32678ae19

13530344985 has 24 divisors (see below), whose sum is σ = 23472548424. Its totient is φ = 7210045440.

The previous prime is 13530344983. The next prime is 13530345001. The reversal of 13530344985 is 58944303531.

13530344985 is a `hidden beast` number, since 1 + 3 + 530 + 34 + 4 + 9 + 85 = 666.

13530344985 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 4 ways, for example, as 5567995161 + 7962349824 = 74619^2 + 89232^2 .

It is not a de Polignac number, because 13530344985 - 21 = 13530344983 is a prime.

It is a super-2 number, since 2×135303449852 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13530344985.

It is not an unprimeable number, because it can be changed into a prime (13530344981) 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, 74152 + ... + 180441.

It is an arithmetic number, because the mean of its divisors is an integer number (978022851).

Almost surely, 213530344985 is an apocalyptic number.

13530344985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13530344985 is a deficient number, since it is larger than the sum of its proper divisors (9942203439).

13530344985 is a wasteful number, since it uses less digits than its factorization.

13530344985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255785 (or 255782 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 13530344985 in words is "thirteen billion, five hundred thirty million, three hundred forty-four thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 1181 3543 5905 10629 17715 53145 254593 763779 1272965 2291337 3818895 11456685 300674333 902022999 1503371665 2706068997 4510114995 13530344985