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12762304212 = 223744391009
BaseRepresentation
bin10111110001011000…
…10100111011010100
31012221102112020010210
423320230110323110
5202114122213322
65510220245420
7631155540000
oct137054247324
935842466123
1012762304212
115459a96059
1225820a0870
1312850798c8
14890d73700
154ea64d70c
hex2f8b14ed4

12762304212 has 120 divisors (see below), whose sum is σ = 34853403200. Its totient is φ = 3634460928.

The previous prime is 12762304211. The next prime is 12762304241. The reversal of 12762304212 is 21240326721.

It is a self number, because there is not a number n which added to its sum of digits gives 12762304212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12762304211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12647964 + ... + 12648972.

Almost surely, 212762304212 is an apocalyptic number.

12762304212 is a gapful number since it is divisible by the number (12) 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 12762304212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426701600).

12762304212 is an abundant number, since it is smaller than the sum of its proper divisors (22091098988).

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

12762304212 is a wasteful number, since it uses less digits than its factorization.

12762304212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 12762304212 in words is "twelve billion, seven hundred sixty-two million, three hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 439 588 686 878 1009 1029 1317 1372 1756 2018 2058 2401 2634 3027 3073 4036 4116 4802 5268 6054 6146 7063 7203 9219 9604 12108 12292 14126 14406 18438 21189 21511 28252 28812 36876 42378 43022 49441 64533 84756 86044 98882 129066 148323 150577 197764 258132 296646 301154 346087 442951 451731 593292 602308 692174 885902 903462 1038261 1054039 1328853 1384348 1771804 1806924 2076522 2108078 2422609 2657706 3100657 3162117 4153044 4216156 4845218 5315412 6201314 6324234 7267827 9301971 9690436 12402628 12648468 14535654 18603942 21704599 29071308 37207884 43409198 65113797 86818396 130227594 151932193 260455188 303864386 455796579 607728772 911593158 1063525351 1823186316 2127050702 3190576053 4254101404 6381152106 12762304212