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268456187575169 = 11712297149644717
BaseRepresentation
bin111101000010100011010011…
…101100101011101110000001
31022012112011100021210220110022
4331002203103230223232001
5240141341233004401134
62350543023042543225
7110355214406013146
oct7502432354535601
91265464307726408
10268456187575169
11785a16a227a920
1226138736067b15
13b6a4404a02149
144a414c51a83cd
15210826518152e
hexf428d3b2bb81

268456187575169 has 16 divisors (see below), whose sum is σ = 297115397536896. Its totient is φ = 240508987555200.

The previous prime is 268456187575159. The next prime is 268456187575273. The reversal of 268456187575169 is 961575781654862.

268456187575169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-268456187575169 is a prime.

It is a super-3 number, since 3×2684561875751693 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268456187575093 and 268456187575102.

It is not an unprimeable number, because it can be changed into a prime (268456187575159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73028402 + ... + 76616315.

It is an arithmetic number, because the mean of its divisors is an integer number (18569712346056).

Almost surely, 2268456187575169 is an apocalyptic number.

It is an amenable number.

268456187575169 is a deficient number, since it is larger than the sum of its proper divisors (28659209961727).

268456187575169 is a wasteful number, since it uses less digits than its factorization.

268456187575169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149647096.

The product of its digits is 6096384000, while the sum is 80.

The spelling of 268456187575169 in words is "two hundred sixty-eight trillion, four hundred fifty-six billion, one hundred eighty-seven million, five hundred seventy-five thousand, one hundred sixty-nine".

Divisors: 1 11 71 781 2297 25267 163087 1793957 149644717 1646091887 10624774907 116872523977 343733914949 3781073064439 24405107961379 268456187575169