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268213617 = 3274257359
BaseRepresentation
bin11111111110010…
…01110101110001
3200200200122220200
433333021311301
51022130313432
642340425413
76434530620
oct1777116561
9620618820
10268213617
11128443951
12759a8269
134374b9a9
142789b6b7
1518830a7c
hexffc9d71

268213617 has 12 divisors (see below), whose sum is σ = 442765440. Its totient is φ = 153264888.

The previous prime is 268213601. The next prime is 268213639. The reversal of 268213617 is 716312862.

268213617 is a `hidden beast` number, since 26 + 8 + 2 + 13 + 617 = 666.

It is not a de Polignac number, because 268213617 - 24 = 268213601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (268213667) 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 11 ways as a sum of consecutive naturals, for example, 2128617 + ... + 2128742.

It is an arithmetic number, because the mean of its divisors is an integer number (36897120).

Almost surely, 2268213617 is an apocalyptic number.

It is an amenable number.

268213617 is a deficient number, since it is larger than the sum of its proper divisors (174551823).

268213617 is a wasteful number, since it uses less digits than its factorization.

268213617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257372 (or 4257369 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 268213617 is about 16377.2286117035. The cubic root of 268213617 is about 644.9018274957.

The spelling of 268213617 in words is "two hundred sixty-eight million, two hundred thirteen thousand, six hundred seventeen".

Divisors: 1 3 7 9 21 63 4257359 12772077 29801513 38316231 89404539 268213617