Search a number
-
+
513894428541 = 3613389139397
BaseRepresentation
bin1110111101001100111…
…11101010111101111101
31211010110012000211000000
413132212133222331331
531404423433203131
61032025125024513
752061532366354
oct7364637527575
91733405024000
10513894428541
11188a3a00a29a
128371a255139
13395c9915220
141ac3069899b
15d57a860ce6
hex77a67eaf7d

513894428541 has 56 divisors (see below), whose sum is σ = 831896596440. Its totient is φ = 315427499136.

The previous prime is 513894428519. The next prime is 513894428543. The reversal of 513894428541 is 145824498315.

513894428541 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 94 + 4 + 2 + 8 + 541 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4655196441 + 509239232100 = 68229^2 + 713610^2 .

It is not a de Polignac number, because 513894428541 - 29 = 513894428029 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513894428543) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3616855 + ... + 3756251.

It is an arithmetic number, because the mean of its divisors is an integer number (14855296365).

Almost surely, 2513894428541 is an apocalyptic number.

It is an amenable number.

513894428541 is a deficient number, since it is larger than the sum of its proper divisors (318002167899).

513894428541 is a wasteful number, since it uses less digits than its factorization.

513894428541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139817 (or 139802 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 513894428541 in words is "five hundred thirteen billion, eight hundred ninety-four million, four hundred twenty-eight thousand, five hundred forty-one".

Divisors: 1 3 9 13 27 39 81 117 243 351 389 729 1053 1167 3159 3501 5057 9477 10503 15171 31509 45513 94527 136539 139397 283581 409617 418191 1228851 1254573 1812161 3686553 3763719 5436483 11291157 16309449 33873471 48928347 54225433 101620413 146785041 162676299 440355123 488028897 704930629 1321065369 1464086691 2114791887 4392260073 6344375661 13176780219 19033126983 39530340657 57099380949 171298142847 513894428541