Search a number
-
+
272303755855073 is a prime number
BaseRepresentation
bin111101111010100010101000…
…101000111000010011100001
31022201010222120221022220122122
4331322202220220320103201
5241142411042444330243
62403050341332114025
7111233203626540125
oct7572425050702341
91281128527286578
10272303755855073
1179845413266008
122665a360a65915
13b8c31985078a7
144b35801bdb585
1521733a3d1c668
hexf7a8a8a384e1

272303755855073 has 2 divisors, whose sum is σ = 272303755855074. Its totient is φ = 272303755855072.

The previous prime is 272303755855063. The next prime is 272303755855099. The reversal of 272303755855073 is 370558557303272.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 271971815098624 + 331940756449 = 16491568^2 + 576143^2 .

It is a cyclic number.

It is not a de Polignac number, because 272303755855073 - 24 = 272303755855057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 272303755854997 and 272303755855015.

It is not a weakly prime, because it can be changed into another prime (272303755855063) 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, 136151877927536 + 136151877927537.

It is an arithmetic number, because the mean of its divisors is an integer number (136151877927537).

Almost surely, 2272303755855073 is an apocalyptic number.

It is an amenable number.

272303755855073 is a deficient number, since it is larger than the sum of its proper divisors (1).

272303755855073 is an equidigital number, since it uses as much as digits as its factorization.

272303755855073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 185220000, while the sum is 62.

The spelling of 272303755855073 in words is "two hundred seventy-two trillion, three hundred three billion, seven hundred fifty-five million, eight hundred fifty-five thousand, seventy-three".