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198536913853 is a prime number
BaseRepresentation
bin1011100011100110111…
…0001110001110111101
3200222110101020012121121
42320321232032032331
511223100422220403
6231112343030541
720225633631505
oct2707156161675
9628411205547
10198536913853
1177220a039a3
123258973b451
1315950182b25
149875a6aa05
15526ecbc3bd
hex2e39b8e3bd

198536913853 has 2 divisors, whose sum is σ = 198536913854. Its totient is φ = 198536913852.

The previous prime is 198536913803. The next prime is 198536913863. The reversal of 198536913853 is 358319635891.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189500890489 + 9036023364 = 435317^2 + 95058^2 .

It is a cyclic number.

It is not a de Polignac number, because 198536913853 - 237 = 61097960381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 198536913791 and 198536913800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (198536913803) 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, 99268456926 + 99268456927.

It is an arithmetic number, because the mean of its divisors is an integer number (99268456927).

Almost surely, 2198536913853 is an apocalyptic number.

It is an amenable number.

198536913853 is a deficient number, since it is larger than the sum of its proper divisors (1).

198536913853 is an equidigital number, since it uses as much as digits as its factorization.

198536913853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20995200, while the sum is 61.

The spelling of 198536913853 in words is "one hundred ninety-eight billion, five hundred thirty-six million, nine hundred thirteen thousand, eight hundred fifty-three".