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268014455017 is a prime number
BaseRepresentation
bin1111100110011011101…
…0000000100011101001
3221121210101110222200221
43321212322000203221
513342343200030032
6323042451530041
725235435164531
oct3714672004351
9847711428627
10268014455017
11a3734199a01
1243b395b9921
131c3732b0a2a
14cd871224c1
156e895ca597
hex3e66e808e9

268014455017 has 2 divisors, whose sum is σ = 268014455018. Its totient is φ = 268014455016.

The previous prime is 268014454991. The next prime is 268014455053. The reversal of 268014455017 is 710554410862.

268014455017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203916368041 + 64098086976 = 451571^2 + 253176^2 .

It is a cyclic number.

It is not a de Polignac number, because 268014455017 - 27 = 268014454889 is a prime.

It is not a weakly prime, because it can be changed into another prime (268014455087) 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, 134007227508 + 134007227509.

It is an arithmetic number, because the mean of its divisors is an integer number (134007227509).

Almost surely, 2268014455017 is an apocalyptic number.

It is an amenable number.

268014455017 is a deficient number, since it is larger than the sum of its proper divisors (1).

268014455017 is an equidigital number, since it uses as much as digits as its factorization.

268014455017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 268800, while the sum is 43.

Adding to 268014455017 its reverse (710554410862), we get a palindrome (978568865879).

The spelling of 268014455017 in words is "two hundred sixty-eight billion, fourteen million, four hundred fifty-five thousand, seventeen".