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12886811080 = 2351113313331
BaseRepresentation
bin11000000000001110…
…10010000111001000
31020021002210211110021
430000013102013020
5202343010423310
65530425030224
7634230041533
oct140007220710
936232724407
1012886811080
1155132a59a0
1225b7925374
1312a4ac1000
148a3703a1a
155065445da
hex3001d21c8

12886811080 has 128 divisors (see below), whose sum is σ = 34268572800. Its totient is φ = 4325318400.

The previous prime is 12886811071. The next prime is 12886811099. The reversal of 12886811080 is 8011868821.

It is a super-2 number, since 2×128868110802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 960015 + ... + 973345.

It is an arithmetic number, because the mean of its divisors is an integer number (267723225).

Almost surely, 212886811080 is an apocalyptic number.

12886811080 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 12886811080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17134286400).

12886811080 is an abundant number, since it is smaller than the sum of its proper divisors (21381761720).

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

12886811080 is a wasteful number, since it uses less digits than its factorization.

12886811080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13392 (or 13362 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 43.

The spelling of 12886811080 in words is "twelve billion, eight hundred eighty-six million, eight hundred eleven thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 169 220 260 286 338 440 520 572 676 715 845 1144 1352 1430 1690 1859 2197 2860 3380 3718 4394 5720 6760 7436 8788 9295 10985 13331 14872 17576 18590 21970 24167 26662 37180 43940 48334 53324 66655 74360 87880 96668 106648 120835 133310 146641 173303 193336 241670 266620 293282 346606 483340 533240 586564 693212 733205 866515 966680 1173128 1386424 1466410 1733030 1906333 2252939 2932820 3466060 3812666 4505878 5865640 6932120 7625332 9011756 9531665 11264695 15250664 18023512 19063330 22529390 24782329 29288207 38126660 45058780 49564658 58576414 76253320 90117560 99129316 117152828 123911645 146441035 198258632 234305656 247823290 292882070 322170277 495646580 585764140 644340554 991293160 1171528280 1288681108 1610851385 2577362216 3221702770 6443405540 12886811080