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4022718376993 is a prime number
BaseRepresentation
bin111010100010011100101…
…100110010110000100001
3112020120100011022211101021
4322202130230302300201
51011402011401030433
612320002235405441
7563426466012301
oct72423454626041
915216304284337
104022718376993
111311030719548
1254b7682b3881
13232457722564
14dc9b467d601
156e9906db22d
hex3a89cb32c21

4022718376993 has 2 divisors, whose sum is σ = 4022718376994. Its totient is φ = 4022718376992.

The previous prime is 4022718376991. The next prime is 4022718377011. The reversal of 4022718376993 is 3996738172204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3453769498624 + 568948878369 = 1858432^2 + 754287^2 .

It is a cyclic number.

It is not a de Polignac number, because 4022718376993 - 21 = 4022718376991 is a prime.

Together with 4022718376991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4022718376991) 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, 2011359188496 + 2011359188497.

It is an arithmetic number, because the mean of its divisors is an integer number (2011359188497).

Almost surely, 24022718376993 is an apocalyptic number.

It is an amenable number.

4022718376993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4022718376993 is an equidigital number, since it uses as much as digits as its factorization.

4022718376993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 4022718376993 in words is "four trillion, twenty-two billion, seven hundred eighteen million, three hundred seventy-six thousand, nine hundred ninety-three".