Search a number
-
+
20084349171661 is a prime number
BaseRepresentation
bin1001001000100010000000…
…11111110111011111001101
32122010001012211022101120121
410210101000133313133031
510113030221341443121
6110414342253344541
74142021616114145
oct444210037673715
978101184271517
1020084349171661
1164437a7567165
122304593a98151
13b28c3b4933b8
144d613287d925
1524c69009d141
hex1244407f77cd

20084349171661 has 2 divisors, whose sum is σ = 20084349171662. Its totient is φ = 20084349171660.

The previous prime is 20084349171647. The next prime is 20084349171697. The reversal of 20084349171661 is 16617194348002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18177688060900 + 1906661110761 = 4263530^2 + 1380819^2 .

It is a cyclic number.

It is not a de Polignac number, because 20084349171661 - 29 = 20084349171149 is a prime.

It is a super-3 number, since 3×200843491716613 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20084349171599 and 20084349171608.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20084349171641) 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, 10042174585830 + 10042174585831.

It is an arithmetic number, because the mean of its divisors is an integer number (10042174585831).

Almost surely, 220084349171661 is an apocalyptic number.

It is an amenable number.

20084349171661 is a deficient number, since it is larger than the sum of its proper divisors (1).

20084349171661 is an equidigital number, since it uses as much as digits as its factorization.

20084349171661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 20084349171661 in words is "twenty trillion, eighty-four billion, three hundred forty-nine million, one hundred seventy-one thousand, six hundred sixty-one".