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5105389527 = 337217435279
BaseRepresentation
bin1001100000100111…
…00000111111010111
3111011210200122211000
410300103200333113
540423434431102
62202334114343
7240342044400
oct46023407727
914153618730
105105389527
11218a94a797
12ba594b9b3
1363493b564
143660969a7
151ed32301c
hex1304e0fd7

5105389527 has 96 divisors (see below), whose sum is σ = 9534412800. Its totient is φ = 2681392896.

The previous prime is 5105389507. The next prime is 5105389543. The reversal of 5105389527 is 7259835015.

5105389527 is a `hidden beast` number, since 5 + 1 + 0 + 538 + 95 + 27 = 666.

It is not a de Polignac number, because 5105389527 - 210 = 5105388503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105389507) 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 95 ways as a sum of consecutive naturals, for example, 964474 + ... + 969752.

It is an arithmetic number, because the mean of its divisors is an integer number (99316800).

Almost surely, 25105389527 is an apocalyptic number.

5105389527 is a deficient number, since it is larger than the sum of its proper divisors (4429023273).

5105389527 is a wasteful number, since it uses less digits than its factorization.

5105389527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5362 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 5105389527 is about 71452.0085581924. The cubic root of 5105389527 is about 1721.9067468834.

The spelling of 5105389527 in words is "five billion, one hundred five million, three hundred eighty-nine thousand, five hundred twenty-seven".

Divisors: 1 3 7 9 17 21 27 43 49 51 63 119 129 147 153 189 301 357 387 441 459 731 833 903 1071 1161 1323 2107 2193 2499 2709 3213 5117 5279 6321 6579 7497 8127 15351 15837 18963 19737 22491 35819 36953 46053 47511 56889 89743 107457 110859 138159 142533 226997 258671 269229 322371 332577 628201 680991 776013 807687 967113 997731 1588979 1884603 2042973 2328039 2423061 3858949 4397407 4766937 5653809 6128919 6984117 11122853 11576847 13192221 14300811 16961427 27012643 33368559 34730541 39576663 42902433 81037929 100105677 104191623 118729989 189088501 243113787 300317031 567265503 729341361 1701796509 5105389527