Search a number
-
+
12733265716047 = 3213920175046341
BaseRepresentation
bin1011100101001011000111…
…0001111010001101001111
31200002021210011212222010200
42321102301301322031033
53132110212010403142
643025325335104543
72452643123526642
oct271226161721517
950067704788120
1012733265716047
11406a1695a5308
121517960b12153
1371498498c076
14320416d41a59
1517134c68164c
hexb94b1c7a34f

12733265716047 has 24 divisors (see below), whose sum is σ = 18534003043920. Its totient is φ = 8423592952320.

The previous prime is 12733265716021. The next prime is 12733265716123. The reversal of 12733265716047 is 74061756233721.

12733265716047 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 3 + 2 + 6 + 571 + 60 + 4 + 7 = 666.

It is not a de Polignac number, because 12733265716047 - 220 = 12733264667471 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12733265715984 and 12733265716002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12733265716247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97 + ... + 5046437.

It is an arithmetic number, because the mean of its divisors is an integer number (772250126830).

Almost surely, 212733265716047 is an apocalyptic number.

12733265716047 is a deficient number, since it is larger than the sum of its proper divisors (5800737327873).

12733265716047 is a wasteful number, since it uses less digits than its factorization.

12733265716047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048503 (or 5048500 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 12733265716047 in words is "twelve trillion, seven hundred thirty-three billion, two hundred sixty-five million, seven hundred sixteen thousand, forty-seven".

Divisors: 1 3 9 139 417 1251 2017 6051 18153 280363 841089 2523267 5046341 15139023 45417069 701441399 2104324197 6312972591 10178469797 30535409391 91606228173 1414807301783 4244421905349 12733265716047