Search a number
-
+
12755714517 = 347133746771
BaseRepresentation
bin10111110000100110…
…01100000111010101
31012220222010102210000
423320103030013111
5202110430331032
65505423121513
7631045533030
oct137023140725
935828112700
1012755714517
1154562a5127
12257ba43299
1312838b0390
1489013a017
154e9c9ae7c
hex2f84cc1d5

12755714517 has 80 divisors (see below), whose sum is σ = 24086457472. Its totient is φ = 6546303360.

The previous prime is 12755714483. The next prime is 12755714537. The reversal of 12755714517 is 71541755721.

12755714517 is a `hidden beast` number, since 1 + 2 + 75 + 57 + 14 + 517 = 666.

12755714517 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 12755714517 - 211 = 12755712469 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12755714537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 249342 + ... + 296112.

Almost surely, 212755714517 is an apocalyptic number.

It is an amenable number.

12755714517 is a deficient number, since it is larger than the sum of its proper divisors (11330742955).

12755714517 is a wasteful number, since it uses less digits than its factorization.

12755714517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46840 (or 46831 counting only the distinct ones).

The product of its digits is 343000, while the sum is 45.

The spelling of 12755714517 in words is "twelve billion, seven hundred fifty-five million, seven hundred fourteen thousand, five hundred seventeen".

Divisors: 1 3 7 9 13 21 27 37 39 63 81 91 111 117 189 259 273 333 351 481 567 777 819 999 1053 1443 2331 2457 2997 3367 4329 6993 7371 10101 12987 20979 30303 38961 46771 90909 140313 272727 327397 420939 608023 982191 1262817 1730527 1824069 2946573 3788451 4256161 5191581 5472207 8839719 12113689 12768483 15574743 16416621 22496851 26519157 36341067 38305449 46724229 49249863 67490553 109023201 114916347 140172687 157477957 202471659 327069603 344749041 472433871 607414977 981208809 1417301613 1822244931 4251904839 12755714517