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12662318000 = 245314942491
BaseRepresentation
bin10111100101011101…
…11010001110110000
31012200110101101211202
423302232322032300
5201413023134000
65452245230332
7625532633003
oct136256721660
935613341752
1012662318000
115408603a22
1225547023a8
13126a43c477
1488198753a
154e199cdd5
hex2f2bba3b0

12662318000 has 80 divisors (see below), whose sum is σ = 30823696800. Its totient is φ = 5030816000.

The previous prime is 12662317891. The next prime is 12662318021. The reversal of 12662318000 is 81326621.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276755 + ... + 319245.

It is an arithmetic number, because the mean of its divisors is an integer number (385296210).

Almost surely, 212662318000 is an apocalyptic number.

12662318000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12662318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15411848400).

12662318000 is an abundant number, since it is smaller than the sum of its proper divisors (18161378800).

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

12662318000 is a wasteful number, since it uses less digits than its factorization.

12662318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42663 (or 42647 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The spelling of 12662318000 in words is "twelve billion, six hundred sixty-two million, three hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 149 200 250 298 400 500 596 745 1000 1192 1490 2000 2384 2980 3725 5960 7450 11920 14900 18625 29800 37250 42491 59600 74500 84982 149000 169964 212455 298000 339928 424910 679856 849820 1062275 1699640 2124550 3399280 4249100 5311375 6331159 8498200 10622750 12662318 16996400 21245500 25324636 31655795 42491000 50649272 63311590 84982000 101298544 126623180 158278975 253246360 316557950 506492720 633115900 791394875 1266231800 1582789750 2532463600 3165579500 6331159000 12662318000