Search a number
-
+
4475326235744 = 257132952995053
BaseRepresentation
bin100000100011111111000…
…1110110000010001100000
3120211211121011212022200002
41001013332032300101200
51041310432004020434
613303534140515132
7641221520230640
oct101077616602140
916754534768602
104475326235744
111475a7aa96861
1260342184baa8
132660381955b0
1411686d65c520
157b6308ad57e
hex411fe3b0460

4475326235744 has 96 divisors (see below), whose sum is σ = 11217993030720. Its totient is φ = 1709408397312.

The previous prime is 4475326235711. The next prime is 4475326235797.

4475326235744 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 4475326235744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26413079 + ... + 26581974.

It is an arithmetic number, because the mean of its divisors is an integer number (116854094070).

Almost surely, 24475326235744 is an apocalyptic number.

It is an amenable number.

4475326235744 is an abundant number, since it is smaller than the sum of its proper divisors (6742666794976).

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

4475326235744 is a wasteful number, since it uses less digits than its factorization.

4475326235744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52995112 (or 52995104 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 56.

The spelling of 4475326235744 in words is "four trillion, four hundred seventy-five billion, three hundred twenty-six million, two hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 91 104 112 116 182 203 208 224 232 364 377 406 416 464 728 754 812 928 1456 1508 1624 2639 2912 3016 3248 5278 6032 6496 10556 12064 21112 42224 84448 52995053 105990106 211980212 370965371 423960424 688935689 741930742 847920848 1377871378 1483861484 1536856537 1695841696 2755742756 2967722968 3073713074 4822549823 5511485512 5935445936 6147426148 9645099646 10757995759 11022971024 11870891872 12294852296 19290199292 19979134981 21515991518 22045942048 24589704592 38580398584 39958269962 43031983036 49179409184 77160797168 79916539924 86063966072 139853944867 154321594336 159833079848 172127932144 279707889734 319666159696 344255864288 559415779468 639332319392 1118831558936 2237663117872 4475326235744