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268240357417 is a prime number
BaseRepresentation
bin1111100111010001011…
…1110000100000101001
3221122101010120000112111
43321310113300200221
513343324012414132
6323121121442321
725244150263234
oct3716427604051
9848333500474
10268240357417
11a383a7637aa
1243ba11a03a1
131c3ab036ba6
14cda912841b
156e9e34e647
hex3e745f0829

268240357417 has 2 divisors, whose sum is σ = 268240357418. Its totient is φ = 268240357416.

The previous prime is 268240357337. The next prime is 268240357439. The reversal of 268240357417 is 714753042862.

268240357417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235136738281 + 33103619136 = 484909^2 + 181944^2 .

It is a cyclic number.

It is not a de Polignac number, because 268240357417 - 227 = 268106139689 is a prime.

It is not a weakly prime, because it can be changed into another prime (268240357447) 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 as a sum of consecutive naturals, namely, 134120178708 + 134120178709.

It is an arithmetic number, because the mean of its divisors is an integer number (134120178709).

Almost surely, 2268240357417 is an apocalyptic number.

It is an amenable number.

268240357417 is a deficient number, since it is larger than the sum of its proper divisors (1).

268240357417 is an equidigital number, since it uses as much as digits as its factorization.

268240357417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 268240357417 in words is "two hundred sixty-eight billion, two hundred forty million, three hundred fifty-seven thousand, four hundred seventeen".