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28681000509 = 3721753832609
BaseRepresentation
bin11010101101100001…
…010101011000111101
32202000211100210020010
4122231201111120331
5432214314004014
621101553213433
72033512324200
oct325541253075
982024323203
1028681000509
111118874a207
125685261279
132921037225
1415611bd937
15b2ce34359
hex6ad85563d

28681000509 has 96 divisors (see below), whose sum is σ = 48587091840. Its totient is φ = 14945968128.

The previous prime is 28681000507. The next prime is 28681000519. The reversal of 28681000509 is 90500018682.

It is not a de Polignac number, because 28681000509 - 21 = 28681000507 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28681000501) 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 95 ways as a sum of consecutive naturals, for example, 10991797 + ... + 10994405.

It is an arithmetic number, because the mean of its divisors is an integer number (506115540).

Almost surely, 228681000509 is an apocalyptic number.

It is an amenable number.

28681000509 is a deficient number, since it is larger than the sum of its proper divisors (19906091331).

28681000509 is a wasteful number, since it uses less digits than its factorization.

28681000509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 28681000509 in words is "twenty-eight billion, six hundred eighty-one million, five hundred nine", and thus it is an aban number.

Divisors: 1 3 7 17 21 49 51 53 83 119 147 159 249 357 371 581 833 901 1113 1411 1743 2499 2597 2609 2703 4067 4233 4399 6307 7791 7827 9877 12201 13197 18263 18921 29631 30793 44149 44353 54789 69139 74783 92379 127841 132447 133059 138277 207417 215551 216547 224349 310471 383523 414831 523481 646653 649641 931413 967939 1515829 1570443 2173297 2350709 2903817 3664367 3681299 4547487 6519891 6775573 7052127 10610803 10993101 11043897 11476991 16454963 20326719 25769093 31832409 34430973 49364889 77307279 80338937 115184741 180383651 195108847 241016811 345554223 541150953 562372559 585326541 1365761929 1687117677 4097285787 9560333503 28681000509