Search a number
-
+
4505662665054 = 2331921439160619
BaseRepresentation
bin100000110010000111001…
…1011000011000101011110
3120221201220101012121022000
41001210032123003011132
51042310044120240204
613325512311503130
7643344343513155
oct101441633030536
916851811177260
104505662665054
111487928126141
12609289387aa6
13268b61171995
1411810a64059c
157c308ce0039
hex4190e6c315e

4505662665054 has 96 divisors (see below), whose sum is σ = 10574706816000. Its totient is φ = 1421843218704.

The previous prime is 4505662665029. The next prime is 4505662665061.

It is a happy number.

4505662665054 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 6 + 626 + 6 + 5 + 0 + 5 + 4 = 666.

4505662665054 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 27971557 + ... + 28132175.

It is an arithmetic number, because the mean of its divisors is an integer number (110153196000).

Almost surely, 24505662665054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4505662665054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287353408000).

4505662665054 is an abundant number, since it is smaller than the sum of its proper divisors (6069044150946).

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

4505662665054 is a wasteful number, since it uses less digits than its factorization.

4505662665054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162107 (or 162082 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 4505662665054 in words is "four trillion, five hundred five billion, six hundred sixty-two million, six hundred sixty-five thousand, fifty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 1439 2166 2878 3249 4317 6498 8634 9747 12951 19494 25902 27341 38853 54682 77706 82023 160619 164046 246069 321238 481857 492138 519479 738207 963714 1038958 1445571 1476414 1558437 2891142 3051761 3116874 4336713 4675311 6103522 8673426 9155283 9350622 14025933 18310566 27465849 28051866 54931698 57983459 82397547 115966918 164795094 173950377 231130741 347900754 462261482 521851131 693392223 1043702262 1386784446 1565553393 2080176669 3131106786 4160353338 4391484079 6240530007 8782968158 12481060014 13174452237 26348904474 39523356711 79046713422 83438197501 118570070133 166876395002 237140140266 250314592503 500629185006 750943777509 1501887555018 2252831332527 4505662665054