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643456814 = 2711132911083
BaseRepresentation
bin100110010110100…
…101111100101110
31122211202222210212
4212112211330232
52304211104224
6143503302422
721642202250
oct4626457456
91584688725
10643456814
1130023a6a0
1215b5aaa12
13a34029a0
1461659cd0
153b753d0e
hex265a5f2e

643456814 has 64 divisors (see below), whose sum is σ = 1340720640. Its totient is φ = 223413120.

The previous prime is 643456769. The next prime is 643456819. The reversal of 643456814 is 418654346.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643456819) by changing a digit.

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, 52517 + ... + 63599.

It is an arithmetic number, because the mean of its divisors is an integer number (20948760).

Almost surely, 2643456814 is an apocalyptic number.

643456814 is an abundant number, since it is smaller than the sum of its proper divisors (697263826).

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

643456814 is a wasteful number, since it uses less digits than its factorization.

643456814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11145.

The product of its digits is 276480, while the sum is 41.

The square root of 643456814 is about 25366.4505597452. The cubic root of 643456814 is about 863.3226492353.

The spelling of 643456814 in words is "six hundred forty-three million, four hundred fifty-six thousand, eight hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 29 58 77 91 143 154 182 203 286 319 377 406 638 754 1001 2002 2233 2639 4147 4466 5278 8294 11083 22166 29029 58058 77581 121913 144079 155162 243826 288158 321407 642814 853391 1008553 1584869 1706782 2017106 2249849 3169738 3535477 4178291 4499698 7070954 8356582 11094083 22188166 24748339 29248037 45961201 49496678 58496074 91922402 321728407 643456814