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4530198616368 = 2432961419127331
BaseRepresentation
bin100000111101100010011…
…1000010001100100110000
3121001002020022221001222120
41001323010320101210300
51043210321321210433
613345051114234240
7645203354614005
oct101730470214460
917032208831876
104530198616368
111497279020557
12611b96425980
1326b2714ccb79
1411939710d8ac
157cc92d9b7b3
hex41ec4e11930

4530198616368 has 160 divisors (see below), whose sum is σ = 12334498041600. Its totient is φ = 1430659507200.

The previous prime is 4530198616309. The next prime is 4530198616379. The reversal of 4530198616368 is 8636168910354.

It is a super-2 number, since 2×45301986163682 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35514463 + ... + 35641793.

It is an arithmetic number, because the mean of its divisors is an integer number (77090612760).

Almost surely, 24530198616368 is an apocalyptic number.

4530198616368 is a gapful number since it is divisible by the number (48) 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 4530198616368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167249020800).

4530198616368 is an abundant number, since it is smaller than the sum of its proper divisors (7804299425232).

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

4530198616368 is a wasteful number, since it uses less digits than its factorization.

4530198616368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127851 (or 127845 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 4530198616368 in words is "four trillion, five hundred thirty billion, one hundred ninety-eight million, six hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 61 87 116 122 174 183 232 244 348 366 419 464 488 696 732 838 976 1257 1392 1464 1676 1769 2514 2928 3352 3538 5028 5307 6704 7076 10056 10614 12151 14152 20112 21228 24302 25559 28304 36453 42456 48604 51118 72906 76677 84912 97208 102236 127331 145812 153354 194416 204472 254662 291624 306708 381993 408944 509324 583248 613416 741211 763986 1018648 1226832 1482422 1527972 2037296 2223633 2964844 3055944 3692599 4447266 5929688 6111888 7385198 7767191 8894532 11077797 11859376 14770396 15534382 17789064 22155594 23301573 29540792 31068764 35578128 44311188 46603146 53351689 59081584 62137528 88622376 93206292 106703378 124275056 160055067 177244752 186412584 213406756 225248539 320110134 372825168 426813512 450497078 640220268 675745617 853627024 900994156 1280440536 1351491234 1547198981 1801988312 2560881072 2702982468 3094397962 3254453029 3603976624 4641596943 5405964936 6188795924 6508906058 9283193886 9763359087 10811929872 12377591848 13017812116 18566387772 19526718174 24755183696 26035624232 37132775544 39053436348 52071248464 74265551088 78106872696 94379137841 156213745392 188758275682 283137413523 377516551364 566274827046 755033102728 1132549654092 1510066205456 2265099308184 4530198616368