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12886982160 = 24351312493307
BaseRepresentation
bin11000000000001111…
…11011111000010000
31020021010010112010120
430000013323320100
5202343031412120
65530432430240
7634231353363
oct140007737020
936233115116
1012886982160
115513402488
1225b79a8380
1312a4b50b40
148a374a0da
1550657a140
hex3001fbe10

12886982160 has 160 divisors (see below), whose sum is σ = 43070160000. Its totient is φ = 3168681984.

The previous prime is 12886982083. The next prime is 12886982177. The reversal of 12886982160 is 6128968821.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3895227 + ... + 3898533.

It is an arithmetic number, because the mean of its divisors is an integer number (269188500).

Almost surely, 212886982160 is an apocalyptic number.

12886982160 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 12886982160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21535080000).

12886982160 is an abundant number, since it is smaller than the sum of its proper divisors (30183177840).

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

12886982160 is a wasteful number, since it uses less digits than its factorization.

12886982160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The spelling of 12886982160 in words is "twelve billion, eight hundred eighty-six million, nine hundred eighty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1249 1560 2498 3120 3307 3747 4996 6245 6614 7494 9921 9992 12490 13228 14988 16237 16535 18735 19842 19984 24980 26456 29976 32474 33070 37470 39684 42991 48711 49605 49960 52912 59952 64948 66140 74940 79368 81185 85982 97422 99210 99920 128973 129896 132280 149880 158736 162370 171964 194844 198420 214955 243555 257946 259792 264560 299760 324740 343928 389688 396840 429910 487110 515892 644865 649480 687856 779376 793680 859820 974220 1031784 1289730 1298960 1719640 1948440 2063568 2579460 3439280 3896880 4130443 5158920 8260886 10317840 12391329 16521772 20652215 24782658 33043544 41304430 49565316 53695759 61956645 66087088 82608860 99130632 107391518 123913290 161087277 165217720 198261264 214783036 247826580 268478795 322174554 330435440 429566072 495653160 536957590 644349108 805436385 859132144 991306320 1073915180 1288698216 1610872770 2147830360 2577396432 3221745540 4295660720 6443491080 12886982160