Search a number
-
+
38676338526663 = 352922512438179
BaseRepresentation
bin10001100101101000010010…
…11010110100100111000111
312001221102101112100011200000
420302310021122310213013
520032133120130323123
6214131355321052343
711101162503131625
oct1062641132644707
9161842345304600
1038676338526663
11113615a7898842
1244078976270b3
131877217370b36
14979d32656515
154710d88c4b43
hex232d096b49c7

38676338526663 has 48 divisors (see below), whose sum is σ = 59959332451200. Its totient is φ = 24884044668000.

The previous prime is 38676338526653. The next prime is 38676338526713. The reversal of 38676338526663 is 36662583367683.

It is not a de Polignac number, because 38676338526663 - 29 = 38676338526151 is a prime.

It is a super-3 number, since 3×386763385266633 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38676338526591 and 38676338526600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38676338526613) 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, 14643708 + ... + 17081886.

It is an arithmetic number, because the mean of its divisors is an integer number (1249152759400).

Almost surely, 238676338526663 is an apocalyptic number.

38676338526663 is a deficient number, since it is larger than the sum of its proper divisors (21282993924537).

38676338526663 is a wasteful number, since it uses less digits than its factorization.

38676338526663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440474 (or 2440462 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 72.

The spelling of 38676338526663 in words is "thirty-eight trillion, six hundred seventy-six billion, three hundred thirty-eight million, five hundred twenty-six thousand, six hundred sixty-three".

Divisors: 1 3 9 27 29 81 87 243 261 783 2251 2349 6753 7047 20259 60777 65279 182331 195837 546993 587511 1762533 2438179 5287599 7314537 15862797 21943611 65830833 70707191 197492499 212121573 592477497 636364719 1909094157 5488340929 5727282471 16465022787 17181847413 49395068361 148185205083 159161886941 444555615249 477485660823 1333666845747 1432456982469 4297370947407 12892112842221 38676338526663