Search a number
-
+
198081255426516 = 223271189802897577
BaseRepresentation
bin101101000010011101100010…
…110111011100100111010100
3221222100101100021012120000200
4231002131202313130213110
5201430330402342122031
61541141134510140500
756502620110454610
oct5502354267344724
9858311307176020
10198081255426516
11581298747a2120
121a2715837b1730
13866ac9cc8c157
1436cb28094a340
1517d78348b88e6
hexb42762ddc9d4

198081255426516 has 144 divisors (see below), whose sum is σ = 631270191726720. Its totient is φ = 50871590415360.

The previous prime is 198081255426497. The next prime is 198081255426623. The reversal of 198081255426516 is 615624552180891.

It is a happy number.

198081255426516 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 8 + 1 + 2 + 554 + 2 + 65 + 16 = 666.

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

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, 401202081 + ... + 401695496.

It is an arithmetic number, because the mean of its divisors is an integer number (4383820775880).

Almost surely, 2198081255426516 is an apocalyptic number.

It is an amenable number.

198081255426516 is an abundant number, since it is smaller than the sum of its proper divisors (433188936300204).

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

198081255426516 is a wasteful number, since it uses less digits than its factorization.

198081255426516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802897694 (or 802897689 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 198081255426516 in words is "one hundred ninety-eight trillion, eighty-one billion, two hundred fifty-five million, four hundred twenty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 89 99 126 132 154 178 198 231 252 267 308 356 396 462 534 623 693 801 924 979 1068 1246 1386 1602 1869 1958 2492 2772 2937 3204 3738 3916 5607 5874 6853 7476 8811 11214 11748 13706 17622 20559 22428 27412 35244 41118 61677 82236 123354 246708 802897577 1605795154 2408692731 3211590308 4817385462 5620283039 7226078193 8831873347 9634770924 11240566078 14452156386 16860849117 17663746694 22481132156 26495620041 28904312772 33721698234 35327493388 50582547351 52991240082 61823113429 67443396468 71457884353 79486860123 101165094702 105982480164 123646226858 142915768706 158973720246 185469340287 202330189404 214373653059 247292453716 285831537412 317947440492 370938680574 428747306118 500205190471 556408020861 643120959177 741877361148 786036727883 857494612236 1000410380942 1112816041722 1286241918354 1500615571413 1572073455766 2000820761884 2225632083444 2358110183649 2572483836708 3001231142826 3144146911532 4501846714239 4716220367298 5502257095181 6002462285652 7074330550947 9003693428478 9432440734596 11004514190362 14148661101894 16506771285543 18007386856956 22009028380724 28297322203788 33013542571086 49520313856629 66027085142172 99040627713258 198081255426516