Search a number
-
+
45511255341 = 32314335910567
BaseRepresentation
bin101010011000101011…
…101010010100101101
311100110202110022112200
4222120223222110231
51221201340132331
632524012052113
73200545200426
oct523053522455
9140422408480
1045511255341
1118334a0a822
1289a1764039
1343a3b072b6
1422ba51464d
1512b577b5e6
hexa98aea52d

45511255341 has 48 divisors (see below), whose sum is σ = 69637201920. Its totient is φ = 28596667680.

The previous prime is 45511255327. The next prime is 45511255421. The reversal of 45511255341 is 14355211554.

45511255341 is a `hidden beast` number, since 4 + 5 + 5 + 112 + 5 + 534 + 1 = 666.

45511255341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45511255341 - 26 = 45511255277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45511255296 and 45511255305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45511255301) 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, 4301640 + ... + 4312206.

It is an arithmetic number, because the mean of its divisors is an integer number (1450775040).

Almost surely, 245511255341 is an apocalyptic number.

It is an amenable number.

45511255341 is a deficient number, since it is larger than the sum of its proper divisors (24125946579).

45511255341 is a wasteful number, since it uses less digits than its factorization.

45511255341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11006 (or 11003 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

Adding to 45511255341 its reverse (14355211554), we get a palindrome (59866466895).

The spelling of 45511255341 in words is "forty-five billion, five hundred eleven million, two hundred fifty-five thousand, three hundred forty-one".

Divisors: 1 3 9 31 43 93 129 279 359 387 1077 1333 3231 3999 10567 11129 11997 15437 31701 33387 46311 95103 100161 138933 327577 454381 478547 982731 1363143 1435641 2948193 3793553 4089429 4306923 11380659 14085811 34141977 42257433 117600143 126772299 163122779 352800429 489368337 1058401287 1468105011 5056806149 15170418447 45511255341