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268865417 is a prime number
BaseRepresentation
bin10000000001101…
…000111110001001
3200201220210000102
4100001220332021
51022312143132
642402415145
76443214122
oct2001507611
9621823012
10268865417
11128849627
12760614b5
1343919582
14279cb049
151890dc62
hex10068f89

268865417 has 2 divisors, whose sum is σ = 268865418. Its totient is φ = 268865416.

The previous prime is 268865411. The next prime is 268865437. The reversal of 268865417 is 714568862.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235039561 + 33825856 = 15331^2 + 5816^2 .

It is a cyclic number.

It is not a de Polignac number, because 268865417 - 218 = 268603273 is a prime.

It is a super-2 number, since 2×2688654172 = 144577224917167778, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (268865411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 134432708 + 134432709.

It is an arithmetic number, because the mean of its divisors is an integer number (134432709).

Almost surely, 2268865417 is an apocalyptic number.

It is an amenable number.

268865417 is a deficient number, since it is larger than the sum of its proper divisors (1).

268865417 is an equidigital number, since it uses as much as digits as its factorization.

268865417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 645120, while the sum is 47.

The square root of 268865417 is about 16397.1161183911. The cubic root of 268865417 is about 645.4238081622.

The spelling of 268865417 in words is "two hundred sixty-eight million, eight hundred sixty-five thousand, four hundred seventeen".