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18136085682 = 231113316710177
BaseRepresentation
bin10000111000111111…
…101011010010110010
31201210221020121111010
4100320333223102302
5244120314220212
612155343131350
71211300120241
oct207077532262
951727217433
1018136085682
117767390670
1236218a3b56
13193049a060
14c40932958
157122da03c
hex438feb4b2

18136085682 has 128 divisors (see below), whose sum is σ = 44649013248. Its totient is φ = 4835635200.

The previous prime is 18136085641. The next prime is 18136085683. The reversal of 18136085682 is 28658063181.

It is not an unprimeable number, because it can be changed into a prime (18136085683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1776978 + ... + 1787154.

It is an arithmetic number, because the mean of its divisors is an integer number (348820416).

Almost surely, 218136085682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18136085682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22324506624).

18136085682 is an abundant number, since it is smaller than the sum of its proper divisors (26512927566).

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

18136085682 is a wasteful number, since it uses less digits than its factorization.

18136085682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10304.

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 18136085682 in words is "eighteen billion, one hundred thirty-six million, eighty-five thousand, six hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 67 78 93 134 143 186 201 286 341 402 403 429 682 737 806 858 871 1023 1209 1474 1742 2046 2077 2211 2418 2613 4154 4422 4433 5226 6231 8866 9581 10177 12462 13299 19162 20354 22847 26598 27001 28743 30531 45694 54002 57486 61062 68541 81003 111947 132301 137082 162006 223894 264602 297011 315487 335841 396903 594022 630974 671682 681859 793806 891033 946461 1363718 1455311 1782066 1892922 2045577 2910622 3470357 4091154 4101331 4365933 6940714 7500449 8202662 8731866 8864167 10411071 12303993 15000898 17728334 20822142 21137629 22501347 24607986 26592501 42275258 45002694 45114641 53185002 63412887 90229282 97505837 126825774 135343923 195011674 232513919 270687846 274789177 292517511 465027838 549578354 585035022 697541757 824367531 1395083514 1648735062 3022680947 6045361894 9068042841 18136085682