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643373668 = 227192295281
BaseRepresentation
bin100110010110010…
…001101001100100
31122211121202202101
4212112101221210
52304200424133
6143501421444
721641404660
oct4626215144
91584552671
10643373668
11300193183
1215b56a884
13a33a3ba2
14616378a0
153b73937d
hex26591a64

643373668 has 48 divisors (see below), whose sum is σ = 1360643200. Its totient is φ = 260029440.

The previous prime is 643373663. The next prime is 643373677. The reversal of 643373668 is 866373346.

It is not an unprimeable number, because it can be changed into a prime (643373663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119188 + ... + 124468.

Almost surely, 2643373668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643373668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680321600).

643373668 is an abundant number, since it is smaller than the sum of its proper divisors (717269532).

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

643373668 is a wasteful number, since it uses less digits than its factorization.

643373668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5538 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 46.

The square root of 643373668 is about 25364.8116097873. The cubic root of 643373668 is about 863.2854621154.

The spelling of 643373668 in words is "six hundred forty-three million, three hundred seventy-three thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 14 19 28 38 76 133 229 266 458 532 916 1603 3206 4351 5281 6412 8702 10562 17404 21124 30457 36967 60914 73934 100339 121828 147868 200678 401356 702373 1209349 1404746 2418698 2809492 4837396 8465443 16930886 22977631 33861772 45955262 91910524 160843417 321686834 643373668