Search a number
-
+
12668669730024 = 23371117403255339
BaseRepresentation
bin1011100001011010011110…
…0011110001110011101000
31122212010001101010212210220
42320112213203301303220
53130030413422330044
642535523451010040
72445165305645040
oct270264743616350
948763041125726
1012668669730024
1140448308779a0
121507333a39920
1370b85bcbb929
1431b249d18720
1516e81b6d0019
hexb85a78f1ce8

12668669730024 has 128 divisors (see below), whose sum is σ = 41809513651200. Its totient is φ = 3097000995840.

The previous prime is 12668669729987. The next prime is 12668669730107. The reversal of 12668669730024 is 42003796686621.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12668669730024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201596254 + ... + 201659085.

It is an arithmetic number, because the mean of its divisors is an integer number (326636825400).

Almost surely, 212668669730024 is an apocalyptic number.

12668669730024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12668669730024 is an abundant number, since it is smaller than the sum of its proper divisors (29140843921176).

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

12668669730024 is a wasteful number, since it uses less digits than its factorization.

12668669730024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403255383 (or 403255379 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 12668669730024 in words is "twelve trillion, six hundred sixty-eight billion, six hundred sixty-nine million, seven hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 714 748 924 952 1122 1309 1428 1496 1848 2244 2618 2856 3927 4488 5236 7854 10472 15708 31416 403255339 806510678 1209766017 1613021356 2419532034 2822787373 3226042712 4435808729 4839064068 5645574746 6855340763 8468362119 8871617458 9678128136 11291149492 13307426187 13710681526 16936724238 17743234916 20566022289 22582298984 26614852374 27421363052 31050661103 33873448476 35486469832 41132044578 47987385341 53229704748 54842726104 62101322206 67746896952 75408748393 82264089156 93151983309 95974770682 106459409496 124202644412 143962156023 150817496786 164528178312 186303966618 191949541364 226226245179 248405288824 287924312046 301634993572 372607933236 383899082728 452452490358 527861238751 575848624092 603269987144 745215866472 904904980716 1055722477502 1151697248184 1583583716253 1809809961432 2111444955004 3167167432506 4222889910008 6334334865012 12668669730024