Search a number
-
+
253480467973 is a prime number
BaseRepresentation
bin1110110000010010011…
…1001111111000000101
3220020021111012221121111
43230010213033320011
513123111444433343
6312240342045021
724212324266465
oct3540447177005
9806244187544
10253480467973
1198556130367
1241162119771
131ab9817a0b5
14c3a8b67ba5
1568d8668c9d
hex3b049cfe05

253480467973 has 2 divisors, whose sum is σ = 253480467974. Its totient is φ = 253480467972.

The previous prime is 253480467857. The next prime is 253480467991. The reversal of 253480467973 is 379764084352.

253480467973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217605456324 + 35875011649 = 466482^2 + 189407^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-253480467973 is a prime.

It is a super-2 number, since 2×2534804679732 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (253480467173) 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, 126740233986 + 126740233987.

It is an arithmetic number, because the mean of its divisors is an integer number (126740233987).

Almost surely, 2253480467973 is an apocalyptic number.

It is an amenable number.

253480467973 is a deficient number, since it is larger than the sum of its proper divisors (1).

253480467973 is an equidigital number, since it uses as much as digits as its factorization.

253480467973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30481920, while the sum is 58.

The spelling of 253480467973 in words is "two hundred fifty-three billion, four hundred eighty million, four hundred sixty-seven thousand, nine hundred seventy-three".