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405093506856191 is a prime number
BaseRepresentation
bin101110000011011100010111…
…0100100111011010011111111
31222010022120011000000200222222
41130012320232210323103333
5411044023000223344231
63553321215443555555
7151220016510564536
oct13406705644732377
91863276130020888
10405093506856191
111080912119441aa
1239525a0398bbbb
13145061ccb3150a
1472068b795331d
1531c76299e027b
hex1706e2e93b4ff

405093506856191 has 2 divisors, whose sum is σ = 405093506856192. Its totient is φ = 405093506856190.

The previous prime is 405093506856133. The next prime is 405093506856209. The reversal of 405093506856191 is 191658605390504.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-405093506856191 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405093502856191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202546753428095 + 202546753428096.

It is an arithmetic number, because the mean of its divisors is an integer number (202546753428096).

Almost surely, 2405093506856191 is an apocalyptic number.

405093506856191 is a deficient number, since it is larger than the sum of its proper divisors (1).

405093506856191 is an equidigital number, since it uses as much as digits as its factorization.

405093506856191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992000, while the sum is 62.

The spelling of 405093506856191 in words is "four hundred five trillion, ninety-three billion, five hundred six million, eight hundred fifty-six thousand, one hundred ninety-one".