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12630463002 = 2310106949
BaseRepresentation
bin10111100001101010…
…11001001000011010
31012121020110000000000
423300311121020122
5201331344304002
65445150353430
7624665110203
oct136065311032
935536400000
1012630463002
1153a1626883
122545abb876
131263968061
1487b6545aa
154ddca961c
hex2f0d5921a

12630463002 has 44 divisors (see below), whose sum is σ = 28418647050. Its totient is φ = 4210114968.

The previous prime is 12630462997. The next prime is 12630463037. The reversal of 12630463002 is 20036403621.

12630463002 is a `hidden beast` number, since 1 + 26 + 3 + 0 + 4 + 630 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10565578521 + 2064884481 = 102789^2 + 45441^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 64624 + ... + 171572.

Almost surely, 212630463002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12630463002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14209323525).

12630463002 is an abundant number, since it is smaller than the sum of its proper divisors (15788184048).

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

12630463002 is an frugal number, since it uses more digits than its factorization.

12630463002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106981 (or 106954 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12630463002 its reverse (20036403621), we get a palindrome (32666866623).

The spelling of 12630463002 in words is "twelve billion, six hundred thirty million, four hundred sixty-three thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 6561 13122 19683 39366 59049 106949 118098 213898 320847 641694 962541 1925082 2887623 5775246 8662869 17325738 25988607 51977214 77965821 155931642 233897463 467794926 701692389 1403384778 2105077167 4210154334 6315231501 12630463002