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5329188135 = 3251712135743
BaseRepresentation
bin1001111011010010…
…01111010100100111
3111202101210210210100
410331221033110213
541403233010020
62240450555143
7246030231435
oct47551172447
914671723710
105329188135
112295207a17
121048898ab3
1366c108c7b
14387ab1d55
15212ccda90
hex13da4f527

5329188135 has 48 divisors (see below), whose sum is σ = 9790395264. Its totient is φ = 2672372736.

The previous prime is 5329188131. The next prime is 5329188143. The reversal of 5329188135 is 5318819235.

5329188135 is a `hidden beast` number, since 532 + 9 + 1 + 8 + 81 + 35 = 666.

It is not a de Polignac number, because 5329188135 - 22 = 5329188131 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5329188131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925074 + ... + 930816.

It is an arithmetic number, because the mean of its divisors is an integer number (203966568).

Almost surely, 25329188135 is an apocalyptic number.

5329188135 is a deficient number, since it is larger than the sum of its proper divisors (4461207129).

5329188135 is a wasteful number, since it uses less digits than its factorization.

5329188135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984 (or 6981 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 5329188135 is about 73001.2885845175. The cubic root of 5329188135 is about 1746.7081666170.

The spelling of 5329188135 in words is "five billion, three hundred twenty-nine million, one hundred eighty-eight thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1213 3639 5743 6065 10917 17229 18195 20621 28715 51687 54585 61863 86145 97631 103105 185589 258435 292893 309315 488155 878679 927945 1464465 4393395 6966259 20898777 34831295 62696331 104493885 118426403 313481655 355279209 592132015 1065837627 1776396045 5329188135