Search a number
-
+
138637789884 = 2232111732298837
BaseRepresentation
bin1000000100011101110…
…1001100101010111100
3111020211220110102202200
42001013131030222330
54232412233234014
6143404520551500
713005400525146
oct2010735145274
9436756412680
10138637789884
1153883466560
1222a51622590
13100c55b50c9
1469d2755c96
153916343a09
hex204774cabc

138637789884 has 144 divisors (see below), whose sum is σ = 386236861920. Its totient is φ = 41581509120.

The previous prime is 138637789883. The next prime is 138637789897. The reversal of 138637789884 is 488987736831.

138637789884 is a `hidden beast` number, since 13 + 86 + 377 + 8 + 98 + 84 = 666.

138637789884 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138637789883) 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, 15683914 + ... + 15692750.

It is an arithmetic number, because the mean of its divisors is an integer number (2682200430).

Almost surely, 2138637789884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138637789884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193118430960).

138637789884 is an abundant number, since it is smaller than the sum of its proper divisors (247599072036).

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

138637789884 is a wasteful number, since it uses less digits than its factorization.

138637789884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9260 (or 9255 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 138637789884 in words is "one hundred thirty-eight billion, six hundred thirty-seven million, seven hundred eighty-nine thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 173 198 229 346 396 458 519 687 692 916 1038 1374 1557 1903 2061 2076 2519 2748 3114 3806 4122 5038 5709 6228 7557 7612 8244 8837 10076 11418 15114 17127 17674 22671 22836 26511 30228 34254 35348 39617 45342 53022 68508 79234 79533 90684 97207 106044 118851 158468 159066 194414 237702 291621 318132 356553 388828 435787 475404 583242 713106 871574 874863 1166484 1307361 1426212 1528801 1743148 1749726 2023673 2614722 3057602 3499452 3922083 4047346 4586403 5229444 6071019 6115204 7844166 8094692 9172806 12142038 13759209 15688332 16816811 18213057 18345612 22260403 24284076 27518418 33633622 36426114 44520806 50450433 55036836 66781209 67267244 72852228 89041612 100900866 133562418 151351299 200343627 201801732 267124836 302702598 350095429 400687254 605405196 700190858 801374508 1050286287 1400381716 2100572574 3150858861 3851049719 4201145148 6301717722 7702099438 11553149157 12603435444 15404198876 23106298314 34659447471 46212596628 69318894942 138637789884