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268002673357 is a prime number
BaseRepresentation
bin1111100110011000110…
…1000100001011001101
3221121202120022102022011
43321212031010023031
513342332141021412
6323041351221221
725235233064626
oct3714615041315
9847676272264
10268002673357
11a37285821a1
1243b35677811
131c370a17233
14cd85736a4d
156e8854e7a7
hex3e663442cd

268002673357 has 2 divisors, whose sum is σ = 268002673358. Its totient is φ = 268002673356.

The previous prime is 268002673339. The next prime is 268002673361. The reversal of 268002673357 is 753376200862.

268002673357 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., 192954618756 + 75048054601 = 439266^2 + 273949^2 .

It is a cyclic number.

It is not a de Polignac number, because 268002673357 - 219 = 268002149069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 268002673357.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (268002673327) 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, 134001336678 + 134001336679.

It is an arithmetic number, because the mean of its divisors is an integer number (134001336679).

Almost surely, 2268002673357 is an apocalyptic number.

It is an amenable number.

268002673357 is a deficient number, since it is larger than the sum of its proper divisors (1).

268002673357 is an equidigital number, since it uses as much as digits as its factorization.

268002673357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 268002673357 in words is "two hundred sixty-eight billion, two million, six hundred seventy-three thousand, three hundred fifty-seven".