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2268404441521 is a prime number
BaseRepresentation
bin100001000000100111011…
…100001110000110110001
322000212011000011012120121
4201000213130032012301
5244131143014112041
64454031323410241
7322613114420521
oct41004734160661
98025130135517
102268404441521
117a5030196389
12307770083981
13135ba958b93a
147bb116cb681
153e01693e7d1
hex2102770e1b1

2268404441521 has 2 divisors, whose sum is σ = 2268404441522. Its totient is φ = 2268404441520.

The previous prime is 2268404441491. The next prime is 2268404441539. The reversal of 2268404441521 is 1251444048622.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1268326440000 + 1000078001521 = 1126200^2 + 1000039^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2268404441521 is a prime.

It is not a weakly prime, because it can be changed into another prime (2268404441561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1134202220760 + 1134202220761.

It is an arithmetic number, because the mean of its divisors is an integer number (1134202220761).

Almost surely, 22268404441521 is an apocalyptic number.

It is an amenable number.

2268404441521 is a deficient number, since it is larger than the sum of its proper divisors (1).

2268404441521 is an equidigital number, since it uses as much as digits as its factorization.

2268404441521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 491520, while the sum is 43.

The spelling of 2268404441521 in words is "two trillion, two hundred sixty-eight billion, four hundred four million, four hundred forty-one thousand, five hundred twenty-one".