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643443525344346 = 231949924239466649
BaseRepresentation
bin1001001001001101010101111…
…0110000101101110001011010
310010101020121012121021102021020
42102103111132300231301122
51133314134314442004341
610200253512543423310
7252350155250650536
oct22223253660556132
93111217177242236
10643443525344346
11177025959578551
12601bb7ba8b4b36
132180560579632c
14b4c6b93288bc6
154e5c699275566
hex249355ec2dc5a

643443525344346 has 64 divisors (see below), whose sum is σ = 1357391520000000. Its totient is φ = 202776691807872.

The previous prime is 643443525344341. The next prime is 643443525344357.

643443525344346 is nontrivially palindromic in base 10.

643443525344346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 643443525344346.

It is not an unprimeable number, because it can be changed into a prime (643443525344341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1378626430 + ... + 1379093078.

It is an arithmetic number, because the mean of its divisors is an integer number (21209242500000).

Almost surely, 2643443525344346 is an apocalyptic number.

643443525344346 is an abundant number, since it is smaller than the sum of its proper divisors (713947994655654).

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

643443525344346 is a wasteful number, since it uses less digits than its factorization.

643443525344346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491411.

The product of its digits is 597196800, while the sum is 60.

The spelling of 643443525344346 in words is "six hundred forty-three trillion, four hundred forty-three billion, five hundred twenty-five million, three hundred forty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 19 38 57 114 499 998 1497 2994 9481 18962 24239 28443 48478 56886 72717 145434 460541 466649 921082 933298 1381623 1399947 2763246 2799894 8866331 12095261 17732662 24190522 26598993 36285783 53197986 72571566 229809959 232857851 459619918 465715702 689429877 698573553 1378859754 1397147106 4424299169 8848598338 11311105111 13272897507 22622210222 26545795014 33933315333 67866630666 214910997109 429821994218 644732991327 1289465982654 5644241450389 11288482900778 16932724351167 33865448702334 107240587557391 214481175114782 321721762672173 643443525344346