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12890581110 = 2335118948767
BaseRepresentation
bin11000000000101011…
…01010100001110110
31020021100220100222000
430000111222201312
5202344442043420
65531041520130
7634304063061
oct140025524166
936240810860
1012890581110
115515440420
1225b9043046
1312a5810cb4
148a40058d8
15506a3b690
hex30056a876

12890581110 has 128 divisors (see below), whose sum is σ = 37921996800. Its totient is φ = 3089813760.

The previous prime is 12890581079. The next prime is 12890581129. The reversal of 12890581110 is 1118509821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239947 + ... + 288713.

It is an arithmetic number, because the mean of its divisors is an integer number (296265600).

Almost surely, 212890581110 is an apocalyptic number.

12890581110 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 12890581110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960998400).

12890581110 is an abundant number, since it is smaller than the sum of its proper divisors (25031415690).

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

12890581110 is a wasteful number, since it uses less digits than its factorization.

12890581110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48883 (or 48877 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 12890581110 in words is "twelve billion, eight hundred ninety million, five hundred eighty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 89 90 99 110 135 165 178 198 267 270 297 330 445 495 534 594 801 890 979 990 1335 1485 1602 1958 2403 2670 2937 2970 4005 4806 4895 5874 8010 8811 9790 12015 14685 17622 24030 26433 29370 44055 48767 52866 88110 97534 132165 146301 243835 264330 292602 438903 487670 536437 731505 877806 1072874 1316709 1463010 1609311 2194515 2633418 2682185 3218622 4340263 4389030 4827933 5364370 6583545 8046555 8680526 9655866 13020789 13167090 14483799 16093110 21701315 24139665 26041578 28967598 39062367 43402630 47742893 48279330 65103945 72418995 78124734 95485786 117187101 130207890 143228679 144837990 195311835 234374202 238714465 286457358 390623670 429686037 477428930 585935505 716143395 859372074 1171871010 1289058111 1432286790 2148430185 2578116222 4296860370 6445290555 12890581110