Search a number
-
+
543320023345 = 51159716133847
BaseRepresentation
bin1111110100000000110…
…01011010000100110001
31220221101220110220120121
413322000121122010301
532400204411221340
61053333041410241
754152655666451
oct7720031320461
91827356426517
10543320023345
1119a469a97190
1289370939981
133c308ca3598
141c4226ddd61
15e1edd2594a
hex7e8065a131

543320023345 has 64 divisors (see below), whose sum is σ = 734885498880. Its totient is φ = 382249324800.

The previous prime is 543320023321. The next prime is 543320023361.

543320023345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 543320023345 - 25 = 543320023313 is a prime.

It is a super-2 number, since 2×5433200233452 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 543320023345.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 141230212 + ... + 141234058.

It is an arithmetic number, because the mean of its divisors is an integer number (11482585920).

Almost surely, 2543320023345 is an apocalyptic number.

543320023345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

543320023345 is a deficient number, since it is larger than the sum of its proper divisors (191565475535).

543320023345 is a wasteful number, since it uses less digits than its factorization.

543320023345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606.

The product of its (nonzero) digits is 129600, while the sum is 34.

It can be divided in two parts, 5433200 and 23345, that added together give a palindrome (5456545).

The spelling of 543320023345 in words is "five hundred forty-three billion, three hundred twenty million, twenty-three thousand, three hundred forty-five".

Divisors: 1 5 11 55 59 71 295 355 613 649 781 3065 3245 3847 3905 4189 6743 19235 20945 33715 36167 42317 43523 46079 180835 211585 217615 226973 230395 273137 397837 478753 1134865 1365685 1989185 2358211 2393765 2496703 2567857 3004507 11791055 12483515 12839285 15022535 16115083 25940321 28246427 80575415 129701605 139134449 141232135 167432981 177265913 695672245 837164905 886329565 1530478939 1841762791 7652394695 9208813955 9878545879 49392729395 108664004669 543320023345