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421752874817 is a prime number
BaseRepresentation
bin1100010001100100110…
…11100010011101000001
31111022121200102220110002
412020302123202131001
523402222213443232
6521430043445345
742320300200061
oct6106233423501
91438550386402
10421752874817
1115295655919a
12698a4226855
1330a042162c1
14165ad1b53a1
15ae864aeb62
hex62326e2741

421752874817 has 2 divisors, whose sum is σ = 421752874818. Its totient is φ = 421752874816.

The previous prime is 421752874759. The next prime is 421752874819. The reversal of 421752874817 is 718478257124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 415581358336 + 6171516481 = 644656^2 + 78559^2 .

It is a cyclic number.

It is not a de Polignac number, because 421752874817 - 214 = 421752858433 is a prime.

Together with 421752874819, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (421752874819) 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, 210876437408 + 210876437409.

It is an arithmetic number, because the mean of its divisors is an integer number (210876437409).

Almost surely, 2421752874817 is an apocalyptic number.

It is an amenable number.

421752874817 is a deficient number, since it is larger than the sum of its proper divisors (1).

421752874817 is an equidigital number, since it uses as much as digits as its factorization.

421752874817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7024640, while the sum is 56.

The spelling of 421752874817 in words is "four hundred twenty-one billion, seven hundred fifty-two million, eight hundred seventy-four thousand, eight hundred seventeen".