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643458854346 = 2372111011969969
BaseRepresentation
bin10010101110100010010…
…00101110110111001010
32021111212202100121011020
421113101020232313022
541020300431314341
61211333444213310
764326340006200
oct11272110566712
92244782317136
10643458854346
11228986826050
12a485909a236
13488a74a1239
1423201d7d070
1511b10335566
hex95d122edca

643458854346 has 96 divisors (see below), whose sum is σ = 1649290403520. Its totient is φ = 165477312000.

The previous prime is 643458854309. The next prime is 643458854377.

643458854346 is nontrivially palindromic in base 10.

643458854346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 643458854346.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658351 + ... + 1311618.

It is an arithmetic number, because the mean of its divisors is an integer number (17180108370).

Almost surely, 2643458854346 is an apocalyptic number.

643458854346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

643458854346 is an abundant number, since it is smaller than the sum of its proper divisors (1005831549174).

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

643458854346 is a wasteful number, since it uses less digits than its factorization.

643458854346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970100 (or 1970093 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 60.

The spelling of 643458854346 in words is "six hundred forty-three billion, four hundred fifty-eight million, eight hundred fifty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 101 147 154 202 231 294 303 462 539 606 707 1078 1111 1414 1617 2121 2222 3234 3333 4242 4949 6666 7777 9898 14847 15554 23331 29694 46662 54439 108878 163317 326634 1969969 3939938 5909907 11819814 13789783 21669659 27579566 41369349 43339318 65008977 82738698 96528481 130017954 151687613 193056962 198966869 289585443 303375226 397933738 455062839 579170886 596900607 910125678 1061813291 1193801214 1392768083 2123626582 2188635559 2785536166 3185439873 4178304249 4377271118 6370879746 6565906677 8356608498 9749376581 13131813354 15320448913 19498753162 29248129743 30640897826 45961346739 58496259486 91922693478 107243142391 214486284782 321729427173 643458854346