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90143826647593 is a prime number
BaseRepresentation
bin10100011111110000111110…
…110001000001101000101001
3102211011122222021021222212011
4110133300332301001220221
543303404024110210333
6515415300253515521
724662451026020135
oct2437607661015051
9384148867258764
1090143826647593
11267a4867109274
12a13a5891a2ba1
133b3b6ac5b6c34
141838dad61c3c5
15a64cab4ce9cd
hex51fc3ec41a29

90143826647593 has 2 divisors, whose sum is σ = 90143826647594. Its totient is φ = 90143826647592.

The previous prime is 90143826647519. The next prime is 90143826647603. The reversal of 90143826647593 is 39574662834109.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90141295752729 + 2530894864 = 9494277^2 + 50308^2 .

It is a cyclic number.

It is not a de Polignac number, because 90143826647593 - 229 = 90143289776681 is a prime.

It is not a weakly prime, because it can be changed into another prime (90143826647293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45071913323796 + 45071913323797.

It is an arithmetic number, because the mean of its divisors is an integer number (45071913323797).

It is a 1-persistent number, because it is pandigital, but 2⋅90143826647593 = 180287653295186 is not.

Almost surely, 290143826647593 is an apocalyptic number.

It is an amenable number.

90143826647593 is a deficient number, since it is larger than the sum of its proper divisors (1).

90143826647593 is an equidigital number, since it uses as much as digits as its factorization.

90143826647593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 235146240, while the sum is 67.

The spelling of 90143826647593 in words is "ninety trillion, one hundred forty-three billion, eight hundred twenty-six million, six hundred forty-seven thousand, five hundred ninety-three".