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5643670338 = 23229531371489
BaseRepresentation
bin1010100000110001…
…11001001101000010
3112120022120011021100
411100120321031002
543024234422323
62332003235230
7256566256245
oct52030711502
915508504240
105643670338
112436783069
121116078b16
136bc307807
143b777525c
152306ed943
hex150639342

5643670338 has 96 divisors (see below), whose sum is σ = 12991071600. Its totient is φ = 1767886848.

The previous prime is 5643670289. The next prime is 5643670423. The reversal of 5643670338 is 8330763465.

It can be written as a sum of positive squares in 8 ways, for example, as 2925403569 + 2718266769 = 54087^2 + 52137^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5643670293 and 5643670302.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3789498 + ... + 3790986.

Almost surely, 25643670338 is an apocalyptic number.

5643670338 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5643670338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495535800).

5643670338 is an abundant number, since it is smaller than the sum of its proper divisors (7347401262).

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

5643670338 is a wasteful number, since it uses less digits than its factorization.

5643670338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 5643670338 is about 75124.3658076393. The cubic root of 5643670338 is about 1780.4121355574.

The spelling of 5643670338 in words is "five billion, six hundred forty-three million, six hundred seventy thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 137 159 174 261 274 318 411 477 522 822 954 1233 1489 1537 2466 2978 3074 3973 4467 4611 7261 7946 8934 9222 11919 13401 13833 14522 21783 23838 26802 27666 35757 43181 43566 65349 71514 78917 86362 129543 130698 157834 203993 210569 236751 259086 388629 407986 421138 473502 611979 631707 710253 777258 1223958 1263414 1420506 1835937 1895121 2288593 3671874 3790242 4577186 5915797 6865779 10811629 11831594 13731558 17747391 20597337 21623258 32434887 35494782 41194674 53242173 64869774 97304661 106484346 194609322 313537241 627074482 940611723 1881223446 2821835169 5643670338