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198073304352 = 25327118931877
BaseRepresentation
bin1011100001111000010…
…1101100010100100000
3200221021001212101221100
42320132011230110200
511221123231214402
6230554342154400
720211304210350
oct2703605542440
9627231771840
10198073304352
1177003242250
123247a422a00
13158a80cc691
149830268b60
15524424171c
hex2e1e16c520

198073304352 has 144 divisors (see below), whose sum is σ = 702259975872. Its totient is φ = 51447605760.

The previous prime is 198073304311. The next prime is 198073304369. The reversal of 198073304352 is 253403370891.

198073304352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 198073304298 and 198073304307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4443763 + ... + 4488114.

It is an arithmetic number, because the mean of its divisors is an integer number (4876805388).

Almost surely, 2198073304352 is an apocalyptic number.

198073304352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198073304352 is an abundant number, since it is smaller than the sum of its proper divisors (504186671520).

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

198073304352 is a wasteful number, since it uses less digits than its factorization.

198073304352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8931911 (or 8931900 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 198073304352 in words is "one hundred ninety-eight billion, seventy-three million, three hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 8931877 17863754 26795631 35727508 53591262 62523139 71455016 80386893 98250647 107182524 125046278 142910032 160773786 187569417 196501294 214365048 250092556 285820064 294751941 321547572 375138834 393002588 428730096 500185112 562708251 589503882 643095144 687754529 750277668 786005176 857460192 884255823 1000370224 1125416502 1179007764 1286190288 1375509058 1500555336 1572010352 1768511646 2000740448 2063263587 2250833004 2358015528 2572380576 2751018116 3001110672 3144020704 3537023292 4126527174 4501666008 4716031056 5502036232 6002221344 6189790761 7074046584 8253054348 9003332016 9432062112 11004072464 12379581522 14148093168 16506108696 18006664032 22008144928 24759163044 28296186336 33012217392 49518326088 66024434784 99036652176 198073304352