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1638536013 = 33418916631
BaseRepresentation
bin110000110101010…
…0001001101001101
311020012012020212000
41201222201031031
511323431123023
6430331302513
755414216632
oct14152411515
94205166760
101638536013
11770a023a4
123988aaa39
1320160914a
14117886189
1598cb2243
hex61aa134d

1638536013 has 32 divisors (see below), whose sum is σ = 2514758400. Its totient is φ = 1053676800.

The previous prime is 1638535967. The next prime is 1638536017. The reversal of 1638536013 is 3106358361.

It is a happy number.

1638536013 is a `hidden beast` number, since 1 + 638 + 5 + 3 + 6 + 0 + 13 = 666.

It is not a de Polignac number, because 1638536013 - 29 = 1638535501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1638536017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90208 + ... + 106838.

It is an arithmetic number, because the mean of its divisors is an integer number (78586200).

Almost surely, 21638536013 is an apocalyptic number.

It is an amenable number.

1638536013 is a deficient number, since it is larger than the sum of its proper divisors (876222387).

1638536013 is a wasteful number, since it uses less digits than its factorization.

1638536013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16770 (or 16764 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1638536013 is about 40478.8341358790. The cubic root of 1638536013 is about 1178.9227008091.

The spelling of 1638536013 in words is "one billion, six hundred thirty-eight million, five hundred thirty-six thousand, thirteen".

Divisors: 1 3 9 27 41 89 123 267 369 801 1107 2403 3649 10947 16631 32841 49893 98523 149679 449037 681871 1480159 2045613 4440477 6136839 13321431 18410517 39964293 60686519 182059557 546178671 1638536013