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13107585447 = 3211312311443
BaseRepresentation
bin11000011010100010…
…11110000110100111
31020211111020022221200
430031101132012213
5203321020213242
610004353013543
7642550431555
oct141521360647
936744208850
1013107585447
115616987a50
1226598542b3
13130b770028
148c4b72bd5
1551ab0404c
hex30d45e1a7

13107585447 has 72 divisors (see below), whose sum is σ = 21459095424. Its totient is φ = 7645716000.

The previous prime is 13107585443. The next prime is 13107585523. The reversal of 13107585447 is 74458570131.

13107585447 is a `hidden beast` number, since 1 + 31 + 0 + 75 + 8 + 544 + 7 = 666.

13107585447 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 13107585447 - 22 = 13107585443 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13107585443) 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 71 ways as a sum of consecutive naturals, for example, 29588008 + ... + 29588450.

It is an arithmetic number, because the mean of its divisors is an integer number (298042992).

Almost surely, 213107585447 is an apocalyptic number.

13107585447 is a deficient number, since it is larger than the sum of its proper divisors (8351509977).

13107585447 is a wasteful number, since it uses less digits than its factorization.

13107585447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 13107585447 in words is "thirteen billion, one hundred seven million, five hundred eighty-five thousand, four hundred forty-seven".

Divisors: 1 3 9 11 31 33 93 99 279 311 341 443 933 961 1023 1329 2799 2883 3069 3421 3987 4873 8649 9641 10263 10571 13733 14619 28923 30789 31713 41199 43857 86769 95139 106051 123597 137773 151063 298871 318153 413319 425723 453189 896613 954459 1239957 1277169 1359567 1515503 2689839 3287581 3831507 4270963 4546509 4682953 9862743 12812889 13639527 14048859 29588229 38438667 42146577 46980593 132399853 140941779 397199559 422825337 1191598677 1456398383 4369195149 13107585447