Search a number
-
+
12745984734 = 2327532717043
BaseRepresentation
bin10111101111011100…
…00100101011011110
31012220021211010000200
423313232010223132
5202100433002414
65504434404330
7630600040230
oct136756045336
935807733020
1012745984734
115450859a8a
1225787306a6
131281884802
1488cb26250
154e8ec8109
hex2f7b84ade

12745984734 has 96 divisors (see below), whose sum is σ = 32280228864. Its totient is φ = 3559308480.

The previous prime is 12745984717. The next prime is 12745984747. The reversal of 12745984734 is 43748954721.

12745984734 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 598 + 47 + 3 + 4 = 666.

It is a super-2 number, since 2×127459847342 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1806217 + ... + 1813259.

It is an arithmetic number, because the mean of its divisors is an integer number (336252384).

Almost surely, 212745984734 is an apocalyptic number.

12745984734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12745984734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140114432).

12745984734 is an abundant number, since it is smaller than the sum of its proper divisors (19534244130).

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

12745984734 is a wasteful number, since it uses less digits than its factorization.

12745984734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7382 (or 7379 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 12745984734 in words is "twelve billion, seven hundred forty-five million, nine hundred eighty-four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 271 318 371 477 542 742 813 954 1113 1626 1897 2226 2439 3339 3794 4878 5691 6678 7043 11382 14086 14363 17073 21129 28726 34146 42258 43089 49301 63387 86178 98602 100541 126774 129267 147903 201082 258534 295806 301623 373279 443709 603246 746558 887418 904869 1119837 1809738 1908653 2239674 2612953 3359511 3817306 5225906 5725959 6719022 7838859 11451918 13360571 15677718 17177877 23516577 26721142 34355754 40081713 47033154 80163426 101158609 120245139 202317218 240490278 303475827 606951654 708110263 910427481 1416220526 1820854962 2124330789 4248661578 6372992367 12745984734