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33268886233 = 11226910091013
BaseRepresentation
bin11110111110111110…
…101110101011011001
310011212120021112021121
4132332332232223121
51021113313324413
623141123405241
72255301603262
oct367676565331
9104776245247
1033268886233
1113122467700
126545823821
1331a26a24cb
141878645969
15ceaad2b8d
hex7befaead9

33268886233 has 24 divisors (see below), whose sum is σ = 36776867400. Its totient is φ = 30072430080.

The previous prime is 33268886227. The next prime is 33268886239.

33268886233 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (33268886227) and next prime (33268886239).

It can be written as a sum of positive squares in 4 ways, for example, as 3697612864 + 29571273369 = 60808^2 + 171963^2 .

It is a de Polignac number, because none of the positive numbers 2k-33268886233 is a prime.

It is a super-3 number, since 3×332688862333 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33268886239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32841435 + ... + 32842447.

It is an arithmetic number, because the mean of its divisors is an integer number (1532369475).

Almost surely, 233268886233 is an apocalyptic number.

It is an amenable number.

33268886233 is a deficient number, since it is larger than the sum of its proper divisors (3507981167).

33268886233 is a wasteful number, since it uses less digits than its factorization.

33268886233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2302 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 52.

The spelling of 33268886233 in words is "thirty-three billion, two hundred sixty-eight million, eight hundred eighty-six thousand, two hundred thirty-three".

Divisors: 1 11 121 269 1009 1013 2959 11099 11143 32549 122089 122573 271421 272497 1022117 2985631 2997467 11243287 32841941 32972137 123676157 274949473 3024444203 33268886233