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12630082068 = 223217103200363
BaseRepresentation
bin10111100001100111…
…11100001000010100
31012121012201122110100
423300303330020110
5201331300111233
65445134254100
7624661632462
oct136063741024
935535648410
1012630082068
1153a139665a
122545957330
131263863856
1487b595832
154ddc31813
hex2f0cfc214

12630082068 has 72 divisors (see below), whose sum is σ = 34132408128. Its totient is φ = 3923889408.

The previous prime is 12630082063. The next prime is 12630082081. The reversal of 12630082068 is 86028003621.

12630082068 is a `hidden beast` number, since 12 + 630 + 0 + 8 + 2 + 0 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12630082061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37146 + ... + 163217.

It is an arithmetic number, because the mean of its divisors is an integer number (474061224).

Almost surely, 212630082068 is an apocalyptic number.

12630082068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12630082068 is an abundant number, since it is smaller than the sum of its proper divisors (21502326060).

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

12630082068 is a wasteful number, since it uses less digits than its factorization.

12630082068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200493 (or 200488 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 12630082068 its reverse (86028003621), we get a palindrome (98658085689).

The spelling of 12630082068 in words is "twelve billion, six hundred thirty million, eighty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 103 153 204 206 306 309 412 612 618 927 1236 1751 1854 3502 3708 5253 7004 10506 15759 21012 31518 63036 200363 400726 601089 801452 1202178 1803267 2404356 3406171 3606534 6812342 7213068 10218513 13624684 20437026 20637389 30655539 40874052 41274778 61311078 61912167 82549556 122622156 123824334 185736501 247648668 350835613 371473002 701671226 742946004 1052506839 1403342452 2105013678 3157520517 4210027356 6315041034 12630082068