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115002060138 = 232718111094547
BaseRepresentation
bin110101100011010101…
…0000010110101101010
3101222211200122221220200
41223012222002311222
53341011011411023
6124455313133030
711210600245110
oct1530652026552
9358750587820
10115002060138
1144854734a09
121a355b5a176
13aac98ca3c4
1457cd65dab0
152ed1309743
hex1ac6a82d6a

115002060138 has 96 divisors (see below), whose sum is σ = 286661531520. Its totient is φ = 32639552640.

The previous prime is 115002060137. The next prime is 115002060167. The reversal of 115002060138 is 831060200511.

115002060138 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 0 + 20 + 601 + 38 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (115002060137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25289581 + ... + 25294127.

It is an arithmetic number, because the mean of its divisors is an integer number (2986057620).

Almost surely, 2115002060138 is an apocalyptic number.

115002060138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115002060138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143330765760).

115002060138 is an abundant number, since it is smaller than the sum of its proper divisors (171659471382).

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

115002060138 is a wasteful number, since it uses less digits than its factorization.

115002060138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5852 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 115002060138 its reverse (831060200511), we get a palindrome (946062260649).

The spelling of 115002060138 in words is "one hundred fifteen billion, two million, sixty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 181 362 543 1086 1109 1267 1629 2218 2534 3258 3327 3801 4547 6654 7602 7763 9094 9981 11403 13641 15526 19962 22806 23289 27282 31829 40923 46578 63658 69867 81846 95487 139734 190974 200729 286461 401458 572922 602187 823007 1204374 1405103 1646014 1806561 2469021 2810206 3613122 4215309 4938042 5042623 5761049 7407063 8430618 10085246 11522098 12645927 14814126 15127869 17283147 25291854 30255738 34566294 35298361 45383607 51849441 70596722 90767214 103698882 105895083 211790166 317685249 635370498 912714763 1825429526 2738144289 5476288578 6389003341 8214432867 12778006682 16428865734 19167010023 38334020046 57501030069 115002060138