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20005106716393 is a prime number
BaseRepresentation
bin1001000110001110011010…
…10001111000111011101001
32121211110200021122120120221
410203013031101320323221
510110230424304411033
6110314115200450041
74133215123263601
oct443071521707351
977743607576527
1020005106716393
116413133233707
1222b1159919921
13b21620298206
144d237657bc01
1524a5a336c12d
hex1231cd478ee9

20005106716393 has 2 divisors, whose sum is σ = 20005106716394. Its totient is φ = 20005106716392.

The previous prime is 20005106716391. The next prime is 20005106716433. The reversal of 20005106716393 is 39361760150002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18137956641424 + 1867150074969 = 4258868^2 + 1366437^2 .

It is a cyclic number.

It is not a de Polignac number, because 20005106716393 - 21 = 20005106716391 is a prime.

Together with 20005106716391, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20005106716391) 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, 10002553358196 + 10002553358197.

It is an arithmetic number, because the mean of its divisors is an integer number (10002553358197).

Almost surely, 220005106716393 is an apocalyptic number.

It is an amenable number.

20005106716393 is a deficient number, since it is larger than the sum of its proper divisors (1).

20005106716393 is an equidigital number, since it uses as much as digits as its factorization.

20005106716393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 204120, while the sum is 43.

Adding to 20005106716393 its reverse (39361760150002), we get a palindrome (59366866866395).

The spelling of 20005106716393 in words is "twenty trillion, five billion, one hundred six million, seven hundred sixteen thousand, three hundred ninety-three".