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8091085447413 = 32171657234113633
BaseRepresentation
bin111010110111101101001…
…0001100010000011110101
31001122111111122201112220200
41311233122101202003311
52030031020333304123
625112554321151113
71463363432355423
oct165573221420365
931574448645820
108091085447413
11263a45688a001
12aa813418b499
13468ca85702c7
141dd8797ac113
15e0703751143
hex75bda4620f5

8091085447413 has 48 divisors (see below), whose sum is σ = 12388267200816. Its totient is φ = 5071156346880.

The previous prime is 8091085447399. The next prime is 8091085447433. The reversal of 8091085447413 is 3147445801908.

8091085447413 is a `hidden beast` number, since 8 + 0 + 9 + 10 + 8 + 544 + 74 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 451378391409 + 7639707056004 = 671847^2 + 2764002^2 .

It is not a de Polignac number, because 8091085447413 - 25 = 8091085447381 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8091085447413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8091085447433) 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 47 ways as a sum of consecutive naturals, for example, 593485845 + ... + 593499477.

It is an arithmetic number, because the mean of its divisors is an integer number (258088900017).

Almost surely, 28091085447413 is an apocalyptic number.

It is an amenable number.

8091085447413 is a deficient number, since it is larger than the sum of its proper divisors (4297181753403).

8091085447413 is a wasteful number, since it uses less digits than its factorization.

8091085447413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17654 (or 17651 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 8091085447413 in words is "eight trillion, ninety-one billion, eighty-five million, four hundred forty-seven thousand, four hundred thirteen".

Divisors: 1 3 9 17 51 153 1657 2341 4971 7023 13633 14913 21069 28169 39797 40899 84507 119391 122697 231761 253521 358173 695283 2085849 3879037 11637111 22589881 31914853 34911333 65943629 67769643 95744559 197830887 203308929 287233677 384027977 542552501 593492661 1152083931 1627657503 3456251793 4882972509 52882911421 158648734263 475946202789 899009494157 2697028482471 8091085447413