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12629696910 = 2351922940213
BaseRepresentation
bin10111100001100100…
…11110000110001110
31012121012000002010020
423300302132012032
5201331200300120
65445122123010
7624655436535
oct136062360616
935535002106
1012629696910
1153a1153246
1225457b0466
13126375a44c
1487b4d531c
154ddba7640
hex2f0c9e18e

12629696910 has 96 divisors (see below), whose sum is σ = 33094513440. Its totient is φ = 3080560896.

The previous prime is 12629696897. The next prime is 12629696921. The reversal of 12629696910 is 1969692621.

12629696910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293964 + ... + 334176.

It is an arithmetic number, because the mean of its divisors is an integer number (344734515).

Almost surely, 212629696910 is an apocalyptic number.

12629696910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12629696910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547256720).

12629696910 is an abundant number, since it is smaller than the sum of its proper divisors (20464816530).

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

12629696910 is a wasteful number, since it uses less digits than its factorization.

12629696910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40290 (or 40271 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 51.

The spelling of 12629696910 in words is "twelve billion, six hundred twenty-nine million, six hundred ninety-six thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 361 435 551 570 722 870 1083 1102 1653 1805 2166 2755 3306 3610 5415 5510 8265 10469 10830 16530 20938 31407 40213 52345 62814 80426 104690 120639 157035 201065 241278 314070 402130 603195 764047 1166177 1206390 1528094 2292141 2332354 3498531 3820235 4584282 5830885 6997062 7640470 11460705 11661770 14516893 17492655 22157363 22921410 29033786 34985310 43550679 44314726 66472089 72584465 87101358 110786815 132944178 145168930 217753395 221573630 332360445 420989897 435506790 664720890 841979794 1262969691 2104949485 2525939382 4209898970 6314848455 12629696910