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4166271984113 is a prime number
BaseRepresentation
bin111100101000001001001…
…010010110000111110001
3112202021212122202122122222
4330220021022112013301
51021230011111442423
612505543043410425
7610001050361231
oct74501112260761
915667778678588
104166271984113
1113669a6a14278
12573550083a15
13242b545a0055
14105911c21cc1
15735933a83c8
hex3ca092961f1

4166271984113 has 2 divisors, whose sum is σ = 4166271984114. Its totient is φ = 4166271984112.

The previous prime is 4166271984067. The next prime is 4166271984269. The reversal of 4166271984113 is 3114891726614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2232803982049 + 1933468002064 = 1494257^2 + 1390492^2 .

It is a cyclic number.

It is not a de Polignac number, because 4166271984113 - 220 = 4166270935537 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (4166271987113) 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, 2083135992056 + 2083135992057.

It is an arithmetic number, because the mean of its divisors is an integer number (2083135992057).

Almost surely, 24166271984113 is an apocalyptic number.

It is an amenable number.

4166271984113 is a deficient number, since it is larger than the sum of its proper divisors (1).

4166271984113 is an equidigital number, since it uses as much as digits as its factorization.

4166271984113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1741824, while the sum is 53.

The spelling of 4166271984113 in words is "four trillion, one hundred sixty-six billion, two hundred seventy-one million, nine hundred eighty-four thousand, one hundred thirteen".