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12026511090 = 23251127114481
BaseRepresentation
bin10110011001101010…
…11111111011110010
31011001011000001201200
423030311133323302
5144112241323330
65305213512030
7604012441356
oct131465377362
934034001650
1012026511090
115111719870
1223b77a2616
1311987b7769
1482135d466
154a5c5aa60
hex2ccd5fef2

12026511090 has 96 divisors (see below), whose sum is σ = 34131756672. Its totient is φ = 2913792000.

The previous prime is 12026511083. The next prime is 12026511121. The reversal of 12026511090 is 9011562021.

12026511090 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 651 + 1 + 0 + 9 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2681650 + ... + 2686130.

It is an arithmetic number, because the mean of its divisors is an integer number (355539132).

Almost surely, 212026511090 is an apocalyptic number.

12026511090 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 12026511090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17065878336).

12026511090 is an abundant number, since it is smaller than the sum of its proper divisors (22105245582).

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

12026511090 is a wasteful number, since it uses less digits than its factorization.

12026511090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7216 (or 7213 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 12026511090 in words is "twelve billion, twenty-six million, five hundred eleven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2711 4481 5422 8133 8962 13443 13555 16266 22405 24399 26886 27110 29821 40329 40665 44810 48798 49291 59642 67215 80658 81330 89463 98582 121995 134430 147873 149105 178926 201645 243990 246455 268389 295746 298210 403290 443619 447315 492910 536778 739365 887238 894630 1341945 1478730 2218095 2683890 4436190 12147991 24295982 36443973 60739955 72887946 109331919 121479910 133627901 182219865 218663838 267255802 364439730 400883703 546659595 668139505 801767406 1093319190 1202651109 1336279010 2004418515 2405302218 4008837030 6013255545 12026511090