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198633336489 = 327219211172
BaseRepresentation
bin1011100011111101111…
…0000010111010101001
3200222201002122222121100
42320333132002322221
511223300113231424
6231130105432013
720231214334200
oct2707736027251
9628632588540
10198633336489
1177270381725
12325b5a9b609
1315967143243
1498847aa237
1552784b6dc9
hex2e3f782ea9

198633336489 has 81 divisors (see below), whose sum is σ = 352564441047. Its totient is φ = 107434561248.

The previous prime is 198633336479. The next prime is 198633336511. The reversal of 198633336489 is 984633336891.

The square root of 198633336489 is 445683.

It is a perfect power (a square), and thus also a powerful number.

198633336489 is a `hidden beast` number, since 1 + 98 + 6 + 3 + 33 + 36 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8791875225 + 189841461264 = 93765^2 + 435708^2 .

It is not a de Polignac number, because 198633336489 - 211 = 198633334441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (198633336479) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 177826959 + ... + 177828075.

Almost surely, 2198633336489 is an apocalyptic number.

198633336489 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

198633336489 is the 445683-rd square number.

198633336489 is the 222842-nd centered octagonal number.

It is an amenable number.

198633336489 is a deficient number, since it is larger than the sum of its proper divisors (153931104558).

198633336489 is an equidigital number, since it uses as much as digits as its factorization.

198633336489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 1146 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 198633336489 in words is "one hundred ninety-eight billion, six hundred thirty-three million, three hundred thirty-six thousand, four hundred eighty-nine".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 361 399 441 931 1083 1117 1197 2527 2793 3249 3351 7581 7819 8379 10053 17689 21223 22743 23457 53067 54733 63669 70371 148561 159201 164199 191007 403237 445683 492597 1039927 1209711 1247689 1337049 2822659 3119781 3629133 3743067 8467977 8733823 9359343 11229201 19758613 23706091 25403931 26201469 59275839 61136761 71118273 78604407 165942637 177827517 183410283 213354819 450415729 497827911 550230849 1161598459 1351247187 1493483733 3152910103 3484795377 4053741561 9458730309 10454386131 22070370721 28376190927 66211112163 198633336489