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2114164993 is a prime number
BaseRepresentation
bin111111000000011…
…1001100100000001
312110100011201011011
41332000321210001
513312211234433
6545441520521
7103251051223
oct17600714401
95410151134
102114164993
119954334a6
124b0043141
1327900a405
14160ad6413
15c59143cd
hex7e039901

2114164993 has 2 divisors, whose sum is σ = 2114164994. Its totient is φ = 2114164992.

The previous prime is 2114164933. The next prime is 2114165003. The reversal of 2114164993 is 3994614112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1315367824 + 798797169 = 36268^2 + 28263^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2114164993 is a prime.

It is not a weakly prime, because it can be changed into another prime (2114164933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057082496 + 1057082497.

It is an arithmetic number, because the mean of its divisors is an integer number (1057082497).

Almost surely, 22114164993 is an apocalyptic number.

It is an amenable number.

2114164993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114164993 is an equidigital number, since it uses as much as digits as its factorization.

2114164993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 40.

The square root of 2114164993 is about 45980.0499456014. The cubic root of 2114164993 is about 1283.4519843896.

The spelling of 2114164993 in words is "two billion, one hundred fourteen million, one hundred sixty-four thousand, nine hundred ninety-three".