Search a number
-
+
643326623346 = 231117377372889
BaseRepresentation
bin10010101110010010100…
…00010011111001110010
32021111112112112120022210
421113021100103321302
541020013103421341
61211312402112550
764323143034111
oct11271120237162
92244475476283
10643326623346
1122891911aa30
12a482094b756
1348885c84144
14231cc59bc78
1511b03915c16
hex95c9413e72

643326623346 has 64 divisors (see below), whose sum is σ = 1413580844160. Its totient is φ = 193567203840.

The previous prime is 643326623339. The next prime is 643326623377.

643326623346 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 643326623295 and 643326623304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8789670 + ... + 8862558.

It is an arithmetic number, because the mean of its divisors is an integer number (22087200690).

Almost surely, 2643326623346 is an apocalyptic number.

643326623346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

643326623346 is an abundant number, since it is smaller than the sum of its proper divisors (770254220814).

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

643326623346 is a wasteful number, since it uses less digits than its factorization.

643326623346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73851.

The product of its digits is 6718464, while the sum is 48.

The spelling of 643326623346 in words is "six hundred forty-three billion, three hundred twenty-six million, six hundred twenty-three thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 173 346 519 773 1038 1546 1903 2319 3806 4638 5709 8503 11418 17006 25509 51018 72889 133729 145778 218667 267458 401187 437334 801779 802374 1471019 1603558 2405337 2942038 4413057 4810674 8826114 12609797 25219594 37829391 56343197 75658782 112686394 138707767 169029591 277415534 338059182 416123301 619775167 832246602 1239550334 1859325501 3718651002 9747373081 19494746162 29242119243 58484238486 107221103891 214442207782 321663311673 643326623346