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28812686049 = 32725921372
BaseRepresentation
bin11010110101010111…
…101011001011100001
32202101000011002211100
4122311113223023201
5433002021423144
621123015505013
72040001535100
oct326527531341
982330132740
1028812686049
1111246012534
125701388169
1329423c2c74
14157489c037
15b39797269
hex6b55eb2e1

28812686049 has 81 divisors (see below), whose sum is σ = 49609718067. Its totient is φ = 16067193408.

The previous prime is 28812686047. The next prime is 28812686069. The reversal of 28812686049 is 94068621882.

The square root of 28812686049 is 169743.

It is a perfect power (a square), and thus also a powerful number.

28812686049 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 26 + 8 + 604 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16924709025 + 11887977024 = 130095^2 + 109032^2 .

It is not a de Polignac number, because 28812686049 - 21 = 28812686047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 28812685986 and 28812686004.

It is not an unprimeable number, because it can be changed into a prime (28812686047) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 210311509 + ... + 210311645.

Almost surely, 228812686049 is an apocalyptic number.

28812686049 is the 169743-rd square number.

28812686049 is the 84872-nd centered octagonal number.

It is an amenable number.

28812686049 is a deficient number, since it is larger than the sum of its proper divisors (20797032018).

28812686049 is an equidigital number, since it uses as much as digits as its factorization.

28812686049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 28812686049 in words is "twenty-eight billion, eight hundred twelve million, six hundred eighty-six thousand, forty-nine".

Divisors: 1 3 7 9 21 49 59 63 137 147 177 411 413 441 531 959 1233 1239 2877 2891 3481 3717 6713 8083 8631 8673 10443 18769 20139 24249 24367 26019 31329 56307 56581 60417 72747 73101 131383 168921 169743 170569 219303 394149 396067 476897 509229 511707 919681 1107371 1182447 1188201 1430691 1535121 2759043 3322113 3338279 3564603 4292073 7751597 8277129 9966339 10014837 23254791 23367953 30044511 54261179 65334889 69764373 70103859 162783537 196004667 210311577 457344223 488350611 588014001 1372032669 3201409561 4116098007 9604228683 28812686049