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28655644655682 = 232113711334615039
BaseRepresentation
bin1101000001111111010011…
…00001010100000001000010
310202110110020010221100112200
412200333221201110001002
512223443230012440212
6140540115454334030
76015205405454052
oct640775141240102
9122413203840480
1028655644655682
1191488773a2210
1232697a54ba316
1312cb2a5b66255
14710d25021562
1534a5ebd546dc
hex1a0fe9854042

28655644655682 has 96 divisors (see below), whose sum is σ = 70177701335040. Its totient is φ = 8374069992960.

The previous prime is 28655644655657. The next prime is 28655644655699.

28655644655682 is a `hidden beast` number, since 2 + 8 + 6 + 5 + 5 + 64 + 4 + 6 + 556 + 8 + 2 = 666.

28655644655682 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×286556446556822 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28655644655682.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16479682 + ... + 18135357.

It is an arithmetic number, because the mean of its divisors is an integer number (731017722240).

Almost surely, 228655644655682 is an apocalyptic number.

28655644655682 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

28655644655682 is an abundant number, since it is smaller than the sum of its proper divisors (41522056679358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28655644655682 is a wasteful number, since it uses less digits than its factorization.

28655644655682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34615208 (or 34615205 counting only the distinct ones).

The product of its digits is 3317760000, while the sum is 72.

The spelling of 28655644655682 in words is "twenty-eight trillion, six hundred fifty-five billion, six hundred forty-four million, six hundred fifty-five thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 113 198 222 226 333 339 407 666 678 814 1017 1221 1243 2034 2442 2486 3663 3729 4181 7326 7458 8362 11187 12543 22374 25086 37629 45991 75258 91982 137973 275946 413919 827838 34615039 69230078 103845117 207690234 311535351 380765429 623070702 761530858 1142296287 1280756443 2284592574 2561512886 3426888861 3842269329 3911499407 6853777722 7684538658 7822998814 11526807987 11734498221 14088320873 23053615974 23468996442 28176641746 35203494663 42264962619 43026493477 70406989326 84529925238 86052986954 126794887857 129079480431 144725478059 253589775714 258158960862 289450956118 387238441293 434176434177 774476882586 868352868354 1302529302531 1591980258649 2605058605062 3183960517298 4775940775947 9551881551894 14327822327841 28655644655682