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13540145541 = 31319471392797
BaseRepresentation
bin11001001110000111…
…00011100110000101
31021221122011122211220
430213003203212011
5210212234124131
610115324150553
7656352223656
oct144703434605
937848148756
1013540145541
11581907182a
12275a698459
13137a271950
149263b152d
15543a99e96
hex3270e3985

13540145541 has 64 divisors (see below), whose sum is σ = 21058867200. Its totient is φ = 7667571456.

The previous prime is 13540145537. The next prime is 13540145557. The reversal of 13540145541 is 14554104531.

It is not a de Polignac number, because 13540145541 - 22 = 13540145537 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540146541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4839555 + ... + 4842351.

It is an arithmetic number, because the mean of its divisors is an integer number (329044800).

Almost surely, 213540145541 is an apocalyptic number.

It is an amenable number.

13540145541 is a deficient number, since it is larger than the sum of its proper divisors (7518721659).

13540145541 is a wasteful number, since it uses less digits than its factorization.

13540145541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 13540145541 in words is "thirteen billion, five hundred forty million, one hundred forty-five thousand, five hundred forty-one".

Divisors: 1 3 13 19 39 47 57 139 141 247 417 611 741 893 1807 1833 2641 2679 2797 5421 6533 7923 8391 11609 19599 34333 34827 36361 53143 84929 102999 109083 124127 131459 159429 254787 372381 388783 394377 690859 1166349 1613651 1708967 2072577 2497721 4840953 5054179 5126901 7386877 7493163 15162537 18272801 22160631 32470373 54818403 96029401 97411119 237546413 288088203 347183219 712639239 1041549657 4513381847 13540145541