Search a number
-
+
58538787474513 = 3477310361789491
BaseRepresentation
bin11010100111101100111111…
…01000100000110001010001
321200021020211202020020110210
431103312133220200301101
530133044414043141023
6324300203034514333
715221200503414063
oct1523663750406121
9250236752206423
1058538787474513
111771a184476485
1266952615959a9
132688251258a48
141065414607733
156b7adca2d593
hex353d9fa20c51

58538787474513 has 64 divisors (see below), whose sum is σ = 81721998139392. Its totient is φ = 37245663544320.

The previous prime is 58538787474463. The next prime is 58538787474521. The reversal of 58538787474513 is 31547478783585.

58538787474513 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 58538787474513 - 29 = 58538787474001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58538787474533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 654085698 + ... + 654175188.

It is an arithmetic number, because the mean of its divisors is an integer number (1276906220928).

Almost surely, 258538787474513 is an apocalyptic number.

It is an amenable number.

58538787474513 is a deficient number, since it is larger than the sum of its proper divisors (23183210664879).

58538787474513 is a wasteful number, since it uses less digits than its factorization.

58538787474513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90334.

The product of its digits is 3161088000, while the sum is 75.

The spelling of 58538787474513 in words is "fifty-eight trillion, five hundred thirty-eight billion, seven hundred eighty-seven million, four hundred seventy-four thousand, five hundred thirteen".

Divisors: 1 3 47 73 103 141 219 309 617 1851 3431 4841 7519 10293 14523 22557 28999 45041 63551 86997 89491 135123 190653 268473 353393 1060179 2116927 2986897 4206077 4639223 6350781 6532843 8960691 9217573 12618231 13917669 19598529 27652719 55215947 165647841 218043481 307043621 433225931 654130443 672882829 921130863 1299677793 2018648487 2595149509 4030764131 5687242541 7785448527 12092292393 17061727623 31625492963 94876478889 189445914157 267300399427 415168705493 568337742471 801901198281 1245506116479 19512929158171 58538787474513