Search a number
-
+
472743537481665 = 325646911287143879
BaseRepresentation
bin110101101111101010010111…
…0100111110001011111000001
32021222211211200221200100201100
41223133110232213301133001
5443430412231043403130
64353235214420125013
7201401410363256412
oct15337245647613701
92258754627610640
10472743537481665
111276a34545675aa
1245030a46236769
13173a26a7b69108
1484a4ca3189809
15399c227003c60
hex1adf52e9f17c1

472743537481665 has 48 divisors (see below), whose sum is σ = 819627107270400. Its totient is φ = 252066824989056.

The previous prime is 472743537481541. The next prime is 472743537481681. The reversal of 472743537481665 is 566184735347274.

It is a happy number.

472743537481665 is a `hidden beast` number, since 4 + 7 + 2 + 7 + 4 + 3 + 537 + 4 + 81 + 6 + 6 + 5 = 666.

It is not a de Polignac number, because 472743537481665 - 220 = 472743536433089 is a prime.

It is a super-2 number, since 2×4727435374816652 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 472743537481593 and 472743537481602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3285630196 + ... + 3285774074.

It is an arithmetic number, because the mean of its divisors is an integer number (17075564734800).

Almost surely, 2472743537481665 is an apocalyptic number.

472743537481665 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

472743537481665 is a deficient number, since it is larger than the sum of its proper divisors (346883569788735).

472743537481665 is a wasteful number, since it uses less digits than its factorization.

472743537481665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161646 (or 161643 counting only the distinct ones).

The product of its digits is 2844979200, while the sum is 72.

The spelling of 472743537481665 in words is "four hundred seventy-two trillion, seven hundred forty-three billion, five hundred thirty-seven million, four hundred eighty-one thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 6469 11287 19407 32345 33861 56435 58221 97035 101583 143879 169305 291105 431637 507915 719395 1294911 2158185 6474555 73015603 219046809 365078015 657140427 930753251 1095234045 1623962273 2792259753 3285702135 4653766255 4871886819 8119811365 8376779259 13961298765 14615660457 24359434095 41883896295 73078302285 10505411944037 31516235832111 52527059720185 94548707496333 157581179160555 472743537481665