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12962868160 = 2651119319081
BaseRepresentation
bin11000001001010010…
…11010101111000000
31020110101220221011011
430010221122233000
5203021443240120
65542143130304
7636142363354
oct140451325700
936411827134
1012962868160
115552223790
1226192a3994
1312b77a07b8
148ad861464
1550d069c5a
hex304a5abc0

12962868160 has 112 divisors (see below), whose sum is σ = 33850246752. Its totient is φ = 4689100800.

The previous prime is 12962868131. The next prime is 12962868211. The reversal of 12962868160 is 6186826921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669820 + ... + 688900.

It is an arithmetic number, because the mean of its divisors is an integer number (302234346).

Almost surely, 212962868160 is an apocalyptic number.

12962868160 is a gapful number since it is divisible by the number (10) 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 12962868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16925123376).

12962868160 is an abundant number, since it is smaller than the sum of its proper divisors (20887378592).

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

12962868160 is a wasteful number, since it uses less digits than its factorization.

12962868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19302 (or 19292 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The spelling of 12962868160 in words is "twelve billion, nine hundred sixty-two million, eight hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 193 220 320 352 386 440 704 772 880 965 1544 1760 1930 2123 3088 3520 3860 4246 6176 7720 8492 10615 12352 15440 16984 19081 21230 30880 33968 38162 42460 61760 67936 76324 84920 95405 135872 152648 169840 190810 209891 305296 339680 381620 419782 610592 679360 763240 839564 1049455 1221184 1526480 1679128 2098910 3052960 3358256 3682633 4197820 6105920 6716512 7365266 8395640 13433024 14730532 16791280 18413165 29461064 33582560 36826330 40508963 58922128 67165120 73652660 81017926 117844256 147305320 162035852 202544815 235688512 294610640 324071704 405089630 589221280 648143408 810179260 1178442560 1296286816 1620358520 2592573632 3240717040 6481434080 12962868160