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13506426135 = 3351711352081
BaseRepresentation
bin11001001010000101…
…11011010100010111
31021212021201112112000
430211002323110113
5210130121114020
610112121330343
7655462504446
oct144502732427
937767645460
1013506426135
115801030954
12274b3369b3
131373296a37
14921b14d5d
15540b39090
hex3250bb517

13506426135 has 64 divisors (see below), whose sum is σ = 25649343360. Its totient is φ = 6719569920.

The previous prime is 13506426113. The next prime is 13506426139. The reversal of 13506426135 is 53162460531.

13506426135 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 642 + 6 + 1 + 3 + 5 = 666.

13506426135 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 13506426135 - 29 = 13506425623 is a prime.

It is a super-2 number, since 2×135064261352 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13506426135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13506426139) 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 63 ways as a sum of consecutive naturals, for example, 233295 + ... + 285375.

It is an arithmetic number, because the mean of its divisors is an integer number (400770990).

Almost surely, 213506426135 is an apocalyptic number.

13506426135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13506426135 is a deficient number, since it is larger than the sum of its proper divisors (12142917225).

13506426135 is a wasteful number, since it uses less digits than its factorization.

13506426135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52225 (or 52219 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13506426135 its reverse (53162460531), we get a palindrome (66668886666).

The spelling of 13506426135 in words is "thirteen billion, five hundred six million, four hundred twenty-six thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 113 135 153 255 339 459 565 765 1017 1695 1921 2295 3051 5085 5763 9605 15255 17289 28815 51867 52081 86445 156243 259335 260405 468729 781215 885377 1406187 2343645 2656131 4426885 5885153 7030935 7968393 13280655 17655459 23905179 29425765 39841965 52966377 88277295 100047601 119525895 158899131 264831885 300142803 500238005 794495655 900428409 1500714015 2701285227 4502142045 13506426135