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9798313168 = 2472341113821
BaseRepresentation
bin10010010000000011…
…00110010011010000
3221021212020212210201
421020001212103100
5130031332010133
64300135504544
7464545200460
oct111001462320
927255225721
109798313168
11417898a786
121a95528154
13c01c92457
1468d461ba0
153c531dd7d
hex2480664d0

9798313168 has 160 divisors (see below), whose sum is σ = 23425500672. Its totient is φ = 3879321600.

The previous prime is 9798313157. The next prime is 9798313169. The reversal of 9798313168 is 8613138979.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9798313169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11934198 + ... + 11935018.

Almost surely, 29798313168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9798313168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11712750336).

9798313168 is an abundant number, since it is smaller than the sum of its proper divisors (13627187504).

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

9798313168 is a wasteful number, since it uses less digits than its factorization.

9798313168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1007 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 55.

The square root of 9798313168 is about 98986.4292112813. The cubic root of 9798313168 is about 2139.8521725120.

The spelling of 9798313168 in words is "nine billion, seven hundred ninety-eight million, three hundred thirteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 41 46 56 82 92 112 113 161 164 184 226 287 322 328 368 452 574 644 656 791 821 904 943 1148 1288 1582 1642 1808 1886 2296 2576 2599 3164 3284 3772 4592 4633 5198 5747 6328 6568 6601 7544 9266 10396 11494 12656 13136 13202 15088 18193 18532 18883 20792 22988 26404 32431 33661 36386 37064 37766 41584 45976 52808 64862 67322 72772 74128 75532 91952 92773 105616 106559 129724 132181 134644 145544 151064 185546 213118 235627 259448 264362 269288 291088 302128 371092 426236 471254 518896 528724 538576 649411 742184 745913 774203 852472 942508 1057448 1298822 1484368 1491826 1548406 1704944 1885016 2114896 2133779 2597644 2983652 3096812 3770032 3803693 4267558 5195288 5419421 5967304 6193624 7607386 8535116 10390576 10838842 11934608 12387248 14936453 15214772 17070232 21677684 26625851 29872906 30429544 34140464 43355368 53251702 59745812 60859088 86710736 87484939 106503404 119491624 174969878 213006808 238983248 349939756 426013616 612394573 699879512 1224789146 1399759024 2449578292 4899156584 9798313168