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198497585794891 = 47167509137336187
BaseRepresentation
bin101101001000100001010010…
…000101110000111101001011
3222000211011222001020121000211
4231020201102011300331023
5202004141023430414031
61542100310530541551
756544656135300215
oct5510412205607513
9860734861217024
10198497585794891
115827a3983a5a29
121a31a1b3a378b7
13869b31b955056
1437034978bb5b5
1517e359ecb4bb1
hexb48852170f4b

198497585794891 has 32 divisors (see below), whose sum is σ = 204489969223680. Its totient is φ = 192585826720896.

The previous prime is 198497585794861. The next prime is 198497585794931.

198497585794891 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 198497585794891 - 219 = 198497585270603 is a prime.

It is a super-2 number, since 2×1984975857948912 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 198497585794891.

It is not an unprimeable number, because it can be changed into a prime (198497585794801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5485310500 + ... + 5485346686.

It is an arithmetic number, because the mean of its divisors is an integer number (6390311538240).

Almost surely, 2198497585794891 is an apocalyptic number.

198497585794891 is a deficient number, since it is larger than the sum of its proper divisors (5992383428789).

198497585794891 is a wasteful number, since it uses less digits than its factorization.

198497585794891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38283.

The product of its digits is 65840947200, while the sum is 94.

The spelling of 198497585794891 in words is "one hundred ninety-eight trillion, four hundred ninety-seven billion, five hundred eighty-five million, seven hundred ninety-four thousand, eight hundred ninety-one".

Divisors: 1 47 167 509 1373 7849 23923 36187 64531 85003 229291 698857 1700789 3995141 6043229 10776677 18419183 32846279 49684751 116709119 284031763 865701601 2335183297 3076003561 5485328593 8297353417 25289538259 144572167367 389975610599 1188608298173 4223352889253 198497585794891