Search a number
-
+
431986764089 is a prime number
BaseRepresentation
bin1100100100101000110…
…10101110100100111001
31112022000220022100100002
412102110122232210321
524034202102422324
6530241343322345
743132014623666
oct6222432564471
91468026270302
10431986764089
111572282a2721
126b87b5b03b5
13319754c509a
1416ca041ca6d
15b384b6d3ae
hex64946ae939

431986764089 has 2 divisors, whose sum is σ = 431986764090. Its totient is φ = 431986764088.

The previous prime is 431986764067. The next prime is 431986764103. The reversal of 431986764089 is 980467689134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412571128489 + 19415635600 = 642317^2 + 139340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-431986764089 is a prime.

It is a super-2 number, since 2×4319867640892 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (431986766089) 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, 215993382044 + 215993382045.

It is an arithmetic number, because the mean of its divisors is an integer number (215993382045).

Almost surely, 2431986764089 is an apocalyptic number.

It is an amenable number.

431986764089 is a deficient number, since it is larger than the sum of its proper divisors (1).

431986764089 is an equidigital number, since it uses as much as digits as its factorization.

431986764089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62705664, while the sum is 65.

The spelling of 431986764089 in words is "four hundred thirty-one billion, nine hundred eighty-six million, seven hundred sixty-four thousand, eighty-nine".