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643133525331346 = 27229509944380487
BaseRepresentation
bin1001001000111011010011000…
…1010100100000110110010010
310010100010222001011120002120021
42102032310301110200312102
51133244044424441100341
610155455243543334054
7252315602205220300
oct22216646124406622
93110128034502507
10643133525331346
11176a1643a6584a5
126016b70445132a
13217b2300c7438a
14b4b5b85dbd270
154e545a3c049d1
hex248ed31520d92

643133525331346 has 48 divisors (see below), whose sum is σ = 1161126707544000. Its totient is φ = 266072019930528.

The previous prime is 643133525331307. The next prime is 643133525331359.

643133525331346 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 643133525331293 and 643133525331302.

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, 7698886 + ... + 36681601.

It is an arithmetic number, because the mean of its divisors is an integer number (24190139740500).

Almost surely, 2643133525331346 is an apocalyptic number.

643133525331346 is a deficient number, since it is larger than the sum of its proper divisors (517993182212654).

643133525331346 is a wasteful number, since it uses less digits than its factorization.

643133525331346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44385631 (or 44385624 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 52.

The spelling of 643133525331346 in words is "six hundred forty-three trillion, one hundred thirty-three billion, five hundred twenty-five million, three hundred thirty-one thousand, three hundred forty-six".

Divisors: 1 2 7 14 29 49 58 98 203 406 1421 2842 5099 10198 35693 71386 147871 249851 295742 499702 1035097 2070194 7245679 14491358 44380487 88760974 310663409 621326818 1287034123 2174643863 2574068246 4349287726 9009238861 18018477722 63064672027 126129344054 226296103213 452592206426 1584072722491 3168145444982 6562586993177 11088509057437 13125173986354 22177018114874 45938108952239 91876217904478 321566762665673 643133525331346