Search a number
-
+
612868387131 = 337111337612869
BaseRepresentation
bin10001110101100011100…
…11010111000100111011
32011120220211222212001000
420322301303113010323
540020123301342011
61145314200300043
762164310223450
oct10726163270473
92146824885030
10612868387131
11216a09255290
129a940471623
1345a4099a570
142193d34d827
1510e1e973356
hex8eb1cd713b

612868387131 has 128 divisors (see below), whose sum is σ = 1252019865600. Its totient is φ = 285939694080.

The previous prime is 612868387091. The next prime is 612868387139. The reversal of 612868387131 is 131783868216.

It is a happy number.

612868387131 is a `hidden beast` number, since 6 + 128 + 6 + 8 + 387 + 131 = 666.

It is not a de Polignac number, because 612868387131 - 26 = 612868387067 is a prime.

It is a super-2 number, since 2×6128683871312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (612868387139) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 693565 + ... + 1306433.

It is an arithmetic number, because the mean of its divisors is an integer number (9781405200).

Almost surely, 2612868387131 is an apocalyptic number.

612868387131 is an abundant number, since it is smaller than the sum of its proper divisors (639151478469).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

612868387131 is a wasteful number, since it uses less digits than its factorization.

612868387131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612946 (or 612940 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

It can be divided in two parts, 612868 and 387131, that added together give a palindrome (999999).

The spelling of 612868387131 in words is "six hundred twelve billion, eight hundred sixty-eight million, three hundred eighty-seven thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 13 21 27 33 37 39 63 77 91 99 111 117 143 189 231 259 273 297 333 351 407 429 481 693 777 819 999 1001 1221 1287 1443 2079 2331 2457 2849 3003 3367 3663 3861 4329 5291 6993 8547 9009 10101 10989 12987 15873 25641 27027 30303 37037 47619 76923 90909 111111 142857 333333 612869 999999 1838607 4290083 5515821 6741559 7967297 12870249 16547463 20224677 22676153 23901891 38610747 47190913 55771079 60674031 68028459 71705673 87640267 115832241 141572739 158733071 167313237 182022093 204085377 215117019 249437683 262920801 294789989 424718217 476199213 501939711 612256131 613481869 748313049 788762403 884369967 1274154651 1428597639 1505819133 1746063781 1840445607 2063529923 2244939147 2366287209 2653109901 3242689879 4285792917 5238191343 5521336821 6190589769 6734817441 7959329703 9728069637 15714574029 16564010463 18571769307 22698829153 29184208911 47143722087 55715307921 68096487459 87552626733 204289462377 612868387131