Search a number
-
+
29163903889013 is a prime number
BaseRepresentation
bin1101010000110010000000…
…01000011010111001110101
310211021001010121100120221222
412220121000020122321311
512310310133343422023
6142005413521520125
76100010503613045
oct650310010327165
9124231117316858
1029163903889013
119324384497983
1233301b04a3045
1313371b515042a
1472b77d10d725
15358947adccc8
hex1a864021ae75

29163903889013 has 2 divisors, whose sum is σ = 29163903889014. Its totient is φ = 29163903889012.

The previous prime is 29163903888991. The next prime is 29163903889033. The reversal of 29163903889013 is 31098830936192.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29015653477924 + 148250411089 = 5386618^2 + 385033^2 .

It is a cyclic number.

It is not a de Polignac number, because 29163903889013 - 216 = 29163903823477 is a prime.

It is a super-2 number, since 2×291639038890132 (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29163903889033) 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, 14581951944506 + 14581951944507.

It is an arithmetic number, because the mean of its divisors is an integer number (14581951944507).

Almost surely, 229163903889013 is an apocalyptic number.

It is an amenable number.

29163903889013 is a deficient number, since it is larger than the sum of its proper divisors (1).

29163903889013 is an equidigital number, since it uses as much as digits as its factorization.

29163903889013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15116544, while the sum is 62.

The spelling of 29163903889013 in words is "twenty-nine trillion, one hundred sixty-three billion, nine hundred three million, eight hundred eighty-nine thousand, thirteen".