Search a number
-
+
32986920558481 is a prime number
BaseRepresentation
bin1111000000000010111011…
…01011101001111110010001
311022210112000012200120012021
413200001131223221332101
513310424203130332411
6154053552044531441
76643140433256611
oct740013553517621
9138715005616167
1032986920558481
11a56874676282a
123849104b50b81
1315538652a4336
1482080b158a41
153c30eb127a71
hex1e005dae9f91

32986920558481 has 2 divisors, whose sum is σ = 32986920558482. Its totient is φ = 32986920558480.

The previous prime is 32986920558379. The next prime is 32986920558503. The reversal of 32986920558481 is 18485502968923.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26465715626256 + 6521204932225 = 5144484^2 + 2553665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32986920558481 is a prime.

It is a super-2 number, since 2×329869205584812 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32986920558481.

It is not a weakly prime, because it can be changed into another prime (32986920550481) 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, 16493460279240 + 16493460279241.

It is an arithmetic number, because the mean of its divisors is an integer number (16493460279241).

Almost surely, 232986920558481 is an apocalyptic number.

It is an amenable number.

32986920558481 is a deficient number, since it is larger than the sum of its proper divisors (1).

32986920558481 is an equidigital number, since it uses as much as digits as its factorization.

32986920558481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 298598400, while the sum is 70.

The spelling of 32986920558481 in words is "thirty-two trillion, nine hundred eighty-six billion, nine hundred twenty million, five hundred fifty-eight thousand, four hundred eighty-one".