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404754426217 is a prime number
BaseRepresentation
bin1011110001111010011…
…11100110100101101001
31102200202000212020122201
411320331033212211221
523112414113114332
6505535220020201
741146122566641
oct5707517464551
91380660766581
10404754426217
1114672335a169
126653b531661
132c2256470ab
14158397bb521
15a7ddee25e7
hex5e3d3e6969

404754426217 has 2 divisors, whose sum is σ = 404754426218. Its totient is φ = 404754426216.

The previous prime is 404754426187. The next prime is 404754426221. The reversal of 404754426217 is 712624457404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210291947776 + 194462478441 = 458576^2 + 440979^2 .

It is a cyclic number.

It is not a de Polignac number, because 404754426217 - 223 = 404746037609 is a prime.

It is a super-2 number, since 2×4047544262172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (404754426277) 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, 202377213108 + 202377213109.

It is an arithmetic number, because the mean of its divisors is an integer number (202377213109).

Almost surely, 2404754426217 is an apocalyptic number.

It is an amenable number.

404754426217 is a deficient number, since it is larger than the sum of its proper divisors (1).

404754426217 is an equidigital number, since it uses as much as digits as its factorization.

404754426217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1505280, while the sum is 46.

The spelling of 404754426217 in words is "four hundred four billion, seven hundred fifty-four million, four hundred twenty-six thousand, two hundred seventeen".