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114054116593 is a prime number
BaseRepresentation
bin110101000111000100…
…1111011010011110001
3101220101121221102211111
41222032021323103301
53332040323212333
6124221251313321
711145236665234
oct1521611732361
9356347842744
10114054116593
114440863699a
121a1305ab841
13a9a83b8671
14573d7c341b
152e77eac4cd
hex1a8e27b4f1

114054116593 has 2 divisors, whose sum is σ = 114054116594. Its totient is φ = 114054116592.

The previous prime is 114054116489. The next prime is 114054116597. The reversal of 114054116593 is 395611450411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102293147889 + 11760968704 = 319833^2 + 108448^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114054116593 is a prime.

It is not a weakly prime, because it can be changed into another prime (114054116597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57027058296 + 57027058297.

It is an arithmetic number, because the mean of its divisors is an integer number (57027058297).

Almost surely, 2114054116593 is an apocalyptic number.

It is an amenable number.

114054116593 is a deficient number, since it is larger than the sum of its proper divisors (1).

114054116593 is an equidigital number, since it uses as much as digits as its factorization.

114054116593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 114054116593 in words is "one hundred fourteen billion, fifty-four million, one hundred sixteen thousand, five hundred ninety-three".