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198363829482 = 232721335349009
BaseRepresentation
bin1011100010111101100…
…1111101010011101010
3200222000022112121111100
42320233121331103222
511222222120020412
6231043241142230
720221432505400
oct2705731752352
9628008477440
10198363829482
1177142235065
123253b78a976
1315923360940
14985aa93470
15525e9ccedc
hex2e2f67d4ea

198363829482 has 144 divisors (see below), whose sum is σ = 539952383880. Its totient is φ = 52166467584.

The previous prime is 198363829427. The next prime is 198363829511. The reversal of 198363829482 is 284928363891.

198363829482 is a `hidden beast` number, since 1 + 98 + 3 + 6 + 382 + 94 + 82 = 666.

198363829482 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56920893561 + 141442935921 = 238581^2 + 376089^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4022994 + ... + 4072002.

Almost surely, 2198363829482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198363829482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269976191940).

198363829482 is an abundant number, since it is smaller than the sum of its proper divisors (341588554398).

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

198363829482 is a wasteful number, since it uses less digits than its factorization.

198363829482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49397 (or 49387 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 198363829482 in words is "one hundred ninety-eight billion, three hundred sixty-three million, eight hundred twenty-nine thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 353 441 546 637 706 819 882 1059 1274 1638 1911 2118 2471 3177 3822 4589 4942 5733 6354 7413 9178 11466 13767 14826 17297 22239 27534 32123 34594 41301 44478 49009 51891 64246 82602 96369 98018 103782 147027 155673 192738 224861 289107 294054 311346 343063 441081 449722 578214 637117 674583 686126 882162 1029189 1274234 1349166 1911351 2023749 2058378 2401441 3087567 3822702 4047498 4459819 4802882 5734053 6175134 7204323 8919638 11468106 13379457 14408646 17300177 21612969 26758914 31218733 34600354 40138371 43225938 51900531 62437466 80276742 93656199 103801062 121101239 155701593 187312398 224902301 242202478 280968597 311403186 363303717 449804602 561937194 674706903 726607434 847708673 1089911151 1349413806 1574316107 1695417346 2024120709 2179822302 2543126019 3148632214 4048241418 4722948321 5086252038 7629378057 9445896642 11020212749 14168844963 15258756114 22040425498 28337689926 33060638247 66121276494 99181914741 198363829482