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643488884346 = 237112921656163
BaseRepresentation
bin10010101110100101110…
…11010010011001111010
32021111221211212021120110
421113102323102121322
541020331123244341
61211340440005150
764330153161210
oct11272273223172
92244854767513
10643488884346
112289a1777030
12a48671607b6
13488b0786a79
1423205d58cb0
1511b12cb8216
hex95d2ed267a

643488884346 has 96 divisors (see below), whose sum is σ = 1661781708288. Its totient is φ = 161376425280.

The previous prime is 643488884329. The next prime is 643488884347.

643488884346 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (643488884347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439540 + ... + 1216623.

It is an arithmetic number, because the mean of its divisors is an integer number (17310226128).

Almost surely, 2643488884346 is an apocalyptic number.

643488884346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

643488884346 is an abundant number, since it is smaller than the sum of its proper divisors (1018292823942).

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

643488884346 is a wasteful number, since it uses less digits than its factorization.

643488884346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656244 (or 1656215 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 66.

The spelling of 643488884346 in words is "six hundred forty-three billion, four hundred eighty-eight million, eight hundred eighty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 174 203 231 319 406 462 609 638 841 957 1218 1682 1914 2233 2523 4466 5046 5887 6699 9251 11774 13398 17661 18502 27753 35322 55506 64757 129514 194271 388542 1656163 3312326 4968489 9936978 11593141 18217793 23186282 34779423 36435586 48028727 54653379 69558846 96057454 109306758 127524551 144086181 255049102 288172362 336201089 382573653 528315997 672402178 765147306 1008603267 1056631994 1392833083 1584947991 2017206534 2785666166 3169895982 3698211979 4178499249 7396423958 8356998498 9749831581 11094635937 15321163913 19499663162 22189271874 29249494743 30642327826 45963491739 58498989486 91926983478 107248147391 214496294782 321744442173 643488884346