Search a number
-
+
188248223346481 is a prime number
BaseRepresentation
bin101010110011010111110100…
…011110110110111100110001
3220200112100120100120110110001
4222303113310132312330301
5144133224330134041411
61504212012343110001
754436325315032054
oct5263276436667461
9820470510513401
10188248223346481
1154a88694504701
1219143925142301
13810696785380c
14346b3968daa9b
1516b6b7cee1dc1
hexab35f47b6f31

188248223346481 has 2 divisors, whose sum is σ = 188248223346482. Its totient is φ = 188248223346480.

The previous prime is 188248223346473. The next prime is 188248223346571. The reversal of 188248223346481 is 184643322842881.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 149039536830625 + 39208686515856 = 12208175^2 + 6261684^2 .

It is a cyclic number.

It is not a de Polignac number, because 188248223346481 - 23 = 188248223346473 is a prime.

It is a super-2 number, since 2×1882482233464812 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (188248223346581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 94124111673240 + 94124111673241.

It is an arithmetic number, because the mean of its divisors is an integer number (94124111673241).

Almost surely, 2188248223346481 is an apocalyptic number.

It is an amenable number.

188248223346481 is a deficient number, since it is larger than the sum of its proper divisors (1).

188248223346481 is an equidigital number, since it uses as much as digits as its factorization.

188248223346481 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 113246208, while the sum is 64.

The spelling of 188248223346481 in words is "one hundred eighty-eight trillion, two hundred forty-eight billion, two hundred twenty-three million, three hundred forty-six thousand, four hundred eighty-one".