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12630736896 = 2143313821
BaseRepresentation
bin10111100001101100…
…11100000000000000
31012121020221220201020
423300312130000000
5201331432040041
65445200305440
7625000330551
oct136066340000
935536856636
1012630736896
1153a17a3638
122546012280
131263a3291b
1487b6c6328
154ddd10866
hex2f0d9c000

12630736896 has 120 divisors (see below), whose sum is σ = 33829699344. Its totient is φ = 4191682560.

The previous prime is 12630736861. The next prime is 12630736903. The reversal of 12630736896 is 69863703621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15384166 + ... + 15384986.

Almost surely, 212630736896 is an apocalyptic number.

12630736896 is a gapful number since it is divisible by the number (16) 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 12630736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16914849672).

12630736896 is an abundant number, since it is smaller than the sum of its proper divisors (21198962448).

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

12630736896 is an frugal number, since it uses more digits than its factorization.

12630736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 12630736896 in words is "twelve billion, six hundred thirty million, seven hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 313 384 512 626 768 821 939 1024 1252 1536 1642 1878 2048 2463 2504 3072 3284 3756 4096 4926 5008 6144 6568 7512 8192 9852 10016 12288 13136 15024 16384 19704 20032 24576 26272 30048 39408 40064 49152 52544 60096 78816 80128 105088 120192 157632 160256 210176 240384 256973 315264 320512 420352 480768 513946 630528 641024 770919 840704 961536 1027892 1261056 1282048 1541838 1681408 1923072 2055784 2522112 2564096 3083676 3362816 3846144 4111568 5044224 5128192 6167352 6725632 7692288 8223136 10088448 12334704 13451264 15384576 16446272 20176896 24669408 32892544 40353792 49338816 65785088 98677632 131570176 197355264 263140352 394710528 526280704 789421056 1052561408 1578842112 2105122816 3157684224 4210245632 6315368448 12630736896