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643687614 = 233232771871
BaseRepresentation
bin100110010111011…
…110010010111110
31122212012201102000
4212113132102332
52304241000424
6143512243130
721644153163
oct4627362276
91585181360
10643687614
11300388039
1215b6a04a6
13a3483a5b
14616ba06a
153b79c3c9
hex265de4be

643687614 has 64 divisors (see below), whose sum is σ = 1498798080. Its totient is φ = 204383520.

The previous prime is 643687613. The next prime is 643687651. The reversal of 643687614 is 416786346.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 643687614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643687613) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343099 + ... + 344969.

It is an arithmetic number, because the mean of its divisors is an integer number (23418720).

Almost surely, 2643687614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643687614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749399040).

643687614 is an abundant number, since it is smaller than the sum of its proper divisors (855110466).

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

643687614 is a wasteful number, since it uses less digits than its factorization.

643687614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2176 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 643687614 is about 25370.9994678964. Note that the first 3 decimals coincide. The cubic root of 643687614 is about 863.4258579482.

The spelling of 643687614 in words is "six hundred forty-three million, six hundred eighty-seven thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 277 414 554 621 831 1242 1662 1871 2493 3742 4986 5613 6371 7479 11226 12742 14958 16839 19113 33678 38226 43033 50517 57339 86066 101034 114678 129099 172017 258198 344034 387297 518267 774594 1036534 1161891 1554801 2323782 3109602 4664403 9328806 11920141 13993209 23840282 27986418 35760423 71520846 107281269 214562538 321843807 643687614