Search a number
-
+
28660763000441 = 1121329628291273
BaseRepresentation
bin1101000010001000110101…
…00110001111111001111001
310202110221102212000012121002
412201010122212033321321
512224034220312003231
6140542323414254345
76015446265620015
oct641043246177171
9122427385005532
1028660763000441
11914aa63590400
12326a7936573b5
1312cb91038c510
1471128cacb545
1534a7eb3860cb
hex1a111a98fe79

28660763000441 has 24 divisors (see below), whose sum is σ = 35096350565640. Its totient is φ = 23221645413120.

The previous prime is 28660763000417. The next prime is 28660763000459. The reversal of 28660763000441 is 14400036706682.

It can be written as a sum of positive squares in 4 ways, for example, as 2899284025 + 28657863716416 = 53845^2 + 5353304^2 .

It is not a de Polignac number, because 28660763000441 - 222 = 28660758806137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28660763000141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314100020 + ... + 314191253.

It is an arithmetic number, because the mean of its divisors is an integer number (1462347940235).

Almost surely, 228660763000441 is an apocalyptic number.

It is an amenable number.

28660763000441 is a deficient number, since it is larger than the sum of its proper divisors (6435587565199).

28660763000441 is a wasteful number, since it uses less digits than its factorization.

28660763000441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628291337 (or 628291326 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 28660763000441 in words is "twenty-eight trillion, six hundred sixty billion, seven hundred sixty-three million, four hundred forty-one", and thus it is an aban number.

Divisors: 1 11 13 29 121 143 319 377 1573 3509 4147 45617 628291273 6911204003 8167786549 18220446917 76023244033 89845652039 200424916087 236865809921 988302172429 2204674076957 2605523909131 28660763000441