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643323140226 = 2321337701105997
BaseRepresentation
bin10010101110010010000…
…11000001100010000010
32021111112021222121101100
421113021003001202002
541020011210441401
61211312155315230
764323101316204
oct11271103014202
92244467877340
10643323140226
11228917161018
12a481b74bb16
1348885334920
14231cbd32774
1511b03478b86
hex95c90c1882

643323140226 has 96 divisors (see below), whose sum is σ = 1543871045808. Its totient is φ = 192319142400.

The previous prime is 643323140219. The next prime is 643323140267. The reversal of 643323140226 is 622041323346.

643323140226 is a `hidden beast` number, since 6 + 4 + 332 + 314 + 0 + 2 + 2 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 424453553001 + 218869587225 = 651501^2 + 467835^2 .

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, 6016260 + ... + 6122256.

Almost surely, 2643323140226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 643323140226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771935522904).

643323140226 is an abundant number, since it is smaller than the sum of its proper divisors (900547905582).

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

643323140226 is a wasteful number, since it uses less digits than its factorization.

643323140226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106756 (or 106753 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 643323140226 in words is "six hundred forty-three billion, three hundred twenty-three million, one hundred forty thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 666 701 962 1402 1443 2103 2886 4206 4329 6309 8658 9113 12618 18226 25937 27339 51874 54678 77811 82017 105997 155622 164034 211994 233433 317991 337181 466866 635982 674362 953973 1011543 1377961 1907946 2023086 2755922 3034629 3921889 4133883 6069258 7843778 8267766 11765667 12401649 23531334 24803298 35297001 50984557 70594002 74303897 101969114 148607794 152953671 222911691 305907342 445823382 458861013 668735073 917722026 965950661 1337470146 1931901322 2749244189 2897851983 5498488378 5795703966 8247732567 8693555949 16495465134 17387111898 24743197701 35740174457 49486395402 71480348914 107220523371 214441046742 321661570113 643323140226