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28271134104813 = 346152123894597
BaseRepresentation
bin1100110110110011000101…
…11001111101110011101101
310201002200201221111112020000
412123121202321331303231
512201143240312323223
6140043325115014513
75645344025633625
oct633314271756355
9121080657445200
1028271134104813
11900a7a21a2246
12320717573a439
1312a0c585a3832
146da48a08d885
153405e5202543
hex19b662e7dced

28271134104813 has 80 divisors (see below), whose sum is σ = 43034269045680. Its totient is φ = 18491097830400.

The previous prime is 28271134104797. The next prime is 28271134104833. The reversal of 28271134104813 is 31840143117282.

It is a happy number.

28271134104813 is a `hidden beast` number, since 2 + 8 + 27 + 1 + 134 + 10 + 481 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14918234182569 + 13352899922244 = 3862413^2 + 3654162^2 .

It is not a de Polignac number, because 28271134104813 - 24 = 28271134104797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28271134104833) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6149907231 + ... + 6149911827.

It is an arithmetic number, because the mean of its divisors is an integer number (537928363071).

Almost surely, 228271134104813 is an apocalyptic number.

It is an amenable number.

28271134104813 is a deficient number, since it is larger than the sum of its proper divisors (14763134940867).

28271134104813 is a wasteful number, since it uses less digits than its factorization.

28271134104813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7580 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 28271134104813 in words is "twenty-eight trillion, two hundred seventy-one billion, one hundred thirty-four million, one hundred four thousand, eight hundred thirteen".

Divisors: 1 3 9 27 61 81 183 521 549 1563 1647 2389 4597 4689 4941 7167 13791 14067 21501 31781 41373 42201 64503 95343 124119 145729 193509 280417 286029 372357 437187 841251 858087 1244669 1311561 2395037 2523753 2574261 3734007 3934683 7185111 7571259 10982233 11202021 11804049 21555333 22713777 32946699 33606063 64665999 75924809 98840097 100818189 146097257 193997997 227774427 296520291 438291771 669916213 683323281 889560873 1314875313 2009748639 2049969843 3944625939 5721743393 6029245917 6149909529 11833877817 17165230179 18087737751 51495690537 54263213253 154487071611 349026346973 463461214833 1047079040919 3141237122757 9423711368271 28271134104813