Search a number
-
+
6643554064 = 2472412712
BaseRepresentation
bin1100010111111110…
…01001011100010000
3122011000000111212221
412023333021130100
5102101222212224
63015122230424
7323430164200
oct61377113420
918130014787
106643554064
1128aa127554
121354ab5414
1381b503aa4
14470492400
1528d3aa6e4
hex18bfc9710

6643554064 has 135 divisors (see below), whose sum is σ = 15566738133. Its totient is φ = 2738668800.

The previous prime is 6643554061. The next prime is 6643554077. The reversal of 6643554064 is 4604553466.

The square root of 6643554064 is 81508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 320123664 + 6323430400 = 17892^2 + 79520^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6643554064.

It is not an unprimeable number, because it can be changed into a prime (6643554061) 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 26 ways as a sum of consecutive naturals, for example, 93571149 + ... + 93571219.

Almost surely, 26643554064 is an apocalyptic number.

6643554064 is the 81508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6643554064

6643554064 is an abundant number, since it is smaller than the sum of its proper divisors (8923184069).

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

6643554064 is an equidigital number, since it uses as much as digits as its factorization.

6643554064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The cubic root of 6643554064 is about 1879.8945602552.

The spelling of 6643554064 in words is "six billion, six hundred forty-three million, five hundred fifty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 41 49 56 71 82 98 112 142 164 196 284 287 328 392 497 568 574 656 784 994 1136 1148 1681 1988 2009 2296 2911 3362 3479 3976 4018 4592 5041 5822 6724 6958 7952 8036 10082 11644 11767 13448 13916 16072 20164 20377 23288 23534 26896 27832 32144 35287 40328 40754 46576 47068 55664 70574 80656 81508 82369 94136 119351 141148 142639 163016 164738 188272 206681 238702 247009 282296 285278 326032 329476 413362 477404 494018 564592 570556 658952 826724 835457 954808 988036 1141112 1317904 1446767 1653448 1670914 1909616 1976072 2282224 2893534 3306896 3341828 3952144 5787068 5848199 6683656 8473921 10127369 11574136 11696398 13367312 16947842 20254738 23148272 23392796 33895684 40509476 46785592 59317447 67791368 81018952 93571184 118634894 135582736 162037904 237269788 415222129 474539576 830444258 949079152 1660888516 3321777032 6643554064