Search a number
-
+
213183434745 = 32559443181253
BaseRepresentation
bin1100011010001010111…
…0010000111111111001
3202101021010020120010100
43012202232100333321
511443044424402440
6241533552510013
721254612203551
oct3064256207771
9671233216110
10213183434745
1182457544916
123539684b309
13171456c8238
14a464d5a161
15582aa5c230
hex31a2b90ff9

213183434745 has 48 divisors (see below), whose sum is σ = 376631311680. Its totient is φ = 111517830528.

The previous prime is 213183434693. The next prime is 213183434749. The reversal of 213183434745 is 547434381312.

It is a happy number.

213183434745 is a `hidden beast` number, since 2 + 131 + 8 + 3 + 43 + 474 + 5 = 666.

It is not a de Polignac number, because 213183434745 - 210 = 213183433721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 213183434745.

It is not an unprimeable number, because it can be changed into a prime (213183434749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085539 + ... + 1266791.

It is an arithmetic number, because the mean of its divisors is an integer number (7846485660).

Almost surely, 2213183434745 is an apocalyptic number.

It is an amenable number.

213183434745 is a deficient number, since it is larger than the sum of its proper divisors (163447876935).

213183434745 is a wasteful number, since it uses less digits than its factorization.

213183434745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181766 (or 181763 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 213183434745 in words is "two hundred thirteen billion, one hundred eighty-three million, four hundred thirty-four thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 45 59 177 295 443 531 885 1329 2215 2655 3987 6645 19935 26137 78411 130685 181253 235233 392055 543759 906265 1176165 1631277 2718795 8156385 10693927 32081781 53469635 80295079 96245343 160408905 240885237 401475395 481226715 722655711 1204426185 3613278555 4737409661 14212228983 23687048305 42636686949 71061144915 213183434745