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198581093172 = 2232711379189019
BaseRepresentation
bin1011100011110001011…
…0110000001100110100
3200222120110100202020200
42320330112300030310
511223143224440142
6231121002000500
720230011304260
oct2707426601464
9628513322220
10198581093172
1177243939530
12325a04a6130
1315959380a37
14987b88b0a0
155273ae764c
hex2e3c5b0334

198581093172 has 144 divisors (see below), whose sum is σ = 627485913600. Its totient is φ = 51443138880.

The previous prime is 198581093167. The next prime is 198581093251. The reversal of 198581093172 is 271390185891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956079 + ... + 1145097.

Almost surely, 2198581093172 is an apocalyptic number.

198581093172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198581093172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313742956800).

198581093172 is an abundant number, since it is smaller than the sum of its proper divisors (428904820428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198581093172 is a wasteful number, since it uses less digits than its factorization.

198581093172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189426 (or 189421 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 198581093172 in words is "one hundred ninety-eight billion, five hundred eighty-one million, ninety-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 379 396 462 693 758 924 1137 1386 1516 2274 2653 2772 3411 4169 4548 5306 6822 7959 8338 10612 12507 13644 15918 16676 23877 25014 29183 31836 37521 47754 50028 58366 75042 87549 95508 116732 150084 175098 189019 262647 350196 378038 525294 567057 756076 1050588 1134114 1323133 1701171 2079209 2268228 2646266 3402342 3969399 4158418 5292532 6237627 6804684 7938798 8316836 11908197 12475254 14554463 15877596 18712881 23816394 24950508 29108926 37425762 43663389 47632788 58217852 71638201 74851524 87326778 130990167 143276402 174653556 214914603 261980334 286552804 429829206 501467407 523960668 644743809 788020211 859658412 1002934814 1289487618 1504402221 1576040422 2005869628 2364060633 2578975236 3008804442 3152080844 4513206663 4728121266 5516141477 6017608884 7092181899 9026413326 9456242532 11032282954 14184363798 16548424431 18052826652 22064565908 28368727596 33096848862 49645273293 66193697724 99290546586 198581093172