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643324343423346 = 233132339844193201
BaseRepresentation
bin1001001001000110011001111…
…0111101110001000101110010
310010100211012120121110112012000
42102101212132331301011302
51133310211223404021341
610200123042353314430
7252335435644230234
oct22221463675610562
93110735517415160
10643324343423346
11176a8a35a482282
12601a0698b65a16
13217c72c0c21aa0
14b4c10c8856254
154e595210188b6
hex249199ef71172

643324343423346 has 64 divisors (see below), whose sum is σ = 1606517869904640. Its totient is φ = 189339606086400.

The previous prime is 643324343423317. The next prime is 643324343423353.

643324343423346 is a `hidden beast` number, since 6 + 4 + 3 + 3 + 24 + 343 + 4 + 233 + 46 = 666.

643324343423346 is nontrivially palindromic in base 10.

643324343423346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6433243434233463 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 643324343423292 and 643324343423301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19922080455 + ... + 19922112746.

It is an arithmetic number, because the mean of its divisors is an integer number (25101841717260).

Almost surely, 2643324343423346 is an apocalyptic number.

643324343423346 is an abundant number, since it is smaller than the sum of its proper divisors (963193526481294).

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

643324343423346 is a wasteful number, since it uses less digits than its factorization.

643324343423346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39844193248 (or 39844193242 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 54.

The spelling of 643324343423346 in words is "six hundred forty-three trillion, three hundred twenty-four billion, three hundred forty-three million, four hundred twenty-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 207 234 299 351 414 598 621 702 897 1242 1794 2691 5382 8073 16146 39844193201 79688386402 119532579603 239065159206 358597738809 517974511613 717195477618 916416443623 1035949023226 1075793216427 1553923534839 1832832887246 2151586432854 2749249330869 3107847069678 4661770604517 5498498661738 8247747992607 9323541209034 11913413767099 13985311813551 16495495985214 23826827534198 24743243977821 27970623627102 35740241301297 49486487955642 71480482602594 107220723903891 214441447807782 321662171711673 643324343423346