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643096416 = 2537194351
BaseRepresentation
bin100110010101001…
…101111101100000
31122211002200102210
4212111031331200
52304113041131
6143451442120
721636141444
oct4625157540
91584080383
10643096416
11300013946
1215b456340
13a3307931
14615a4824
153b6d2146
hex2654df60

643096416 has 48 divisors (see below), whose sum is σ = 1711922688. Its totient is φ = 211344000.

The previous prime is 643096411. The next prime is 643096499. The reversal of 643096416 is 614690346.

643096416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643096411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40360 + ... + 53991.

It is an arithmetic number, because the mean of its divisors is an integer number (35665056).

Almost surely, 2643096416 is an apocalyptic number.

It is an amenable number.

643096416 is an abundant number, since it is smaller than the sum of its proper divisors (1068826272).

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

643096416 is a wasteful number, since it uses less digits than its factorization.

643096416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94435 (or 94427 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 643096416 is about 25359.3457328851. The cubic root of 643096416 is about 863.1614377616.

The spelling of 643096416 in words is "six hundred forty-three million, ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 94351 188702 283053 377404 566106 754808 1132212 1509616 2264424 3019232 4528848 6698921 9057696 13397842 20096763 26795684 40193526 53591368 80387052 107182736 160774104 214365472 321548208 643096416