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12654943434 = 2327839831231
BaseRepresentation
bin10111100100100101…
…10001110011001010
31012122221111201211200
423302102301303022
5201404131142214
65451423205030
7625413146550
oct136222616312
935587451750
1012654943434
115404427341
122552146776
131268a59913
148809c7bd0
154e0ee2d09
hex2f24b1cca

12654943434 has 96 divisors (see below), whose sum is σ = 31771643904. Its totient is φ = 3565602720.

The previous prime is 12654943421. The next prime is 12654943439. The reversal of 12654943434 is 43434945621.

12654943434 is a `hidden beast` number, since 1 + 26 + 549 + 43 + 43 + 4 = 666.

12654943434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12654943434.

It is not an unprimeable number, because it can be changed into a prime (12654943439) 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 47 ways as a sum of consecutive naturals, for example, 10279599 + ... + 10280829.

It is an arithmetic number, because the mean of its divisors is an integer number (330954624).

Almost surely, 212654943434 is an apocalyptic number.

12654943434 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 12654943434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885821952).

12654943434 is an abundant number, since it is smaller than the sum of its proper divisors (19116700470).

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

12654943434 is a wasteful number, since it uses less digits than its factorization.

12654943434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2309 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 12654943434 in words is "twelve billion, six hundred fifty-four million, nine hundred forty-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 498 581 747 983 1162 1231 1494 1743 1966 2462 2949 3486 3693 5229 5898 6881 7386 8617 8847 10458 11079 13762 17234 17694 20643 22158 25851 41286 51702 61929 77553 81589 102173 123858 155106 163178 204346 244767 306519 489534 571123 613038 715211 734301 919557 1142246 1210073 1430422 1468602 1713369 1839114 2145633 2420146 3426738 3630219 4291266 5140107 6436899 7260438 8470511 10280214 10890657 12873798 16941022 21781314 25411533 50823066 76234599 100436059 152469198 200872118 301308177 602616354 703052413 903924531 1406104826 1807849062 2109157239 4218314478 6327471717 12654943434