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12644015300200 = 2352121352118777
BaseRepresentation
bin1011011111111110101000…
…0010100101111001101000
31122202202102011111002011101
42313333222002211321220
53124124420404101300
642520325213011144
72443333325520634
oct267775202457150
948682364432141
1012644015300200
11403532a00a959
1215025b3183ab4
1370943024a20b
14319d8b807dc4
1516dd7701db6a
hexb7fea0a5e68

12644015300200 has 48 divisors (see below), whose sum is σ = 29421571368780. Its totient is φ = 5053436520960.

The previous prime is 12644015300129. The next prime is 12644015300201. The reversal of 12644015300200 is 200351044621.

It can be written as a sum of positive squares in 6 ways, for example, as 192192806404 + 12451822493796 = 438398^2 + 3528714^2 .

It is a super-2 number, since 2×126440153002002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12644015300201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25816789 + ... + 26301988.

Almost surely, 212644015300200 is an apocalyptic number.

12644015300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12644015300200 is an abundant number, since it is smaller than the sum of its proper divisors (16777556068580).

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

12644015300200 is a wasteful number, since it uses less digits than its factorization.

12644015300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52120006 (or 52119997 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 12644015300200 its reverse (200351044621), we get a palindrome (12844366344821).

The spelling of 12644015300200 in words is "twelve trillion, six hundred forty-four billion, fifteen million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1213 2426 4852 6065 9704 12130 24260 30325 48520 60650 121300 242600 52118777 104237554 208475108 260593885 416950216 521187770 1042375540 1302969425 2084751080 2605938850 5211877700 10423755400 63220076501 126440153002 252880306004 316100382505 505760612008 632200765010 1264401530020 1580501912525 2528803060040 3161003825050 6322007650100 12644015300200