Search a number
-
+
2180016001836 = 22324147129724229
BaseRepresentation
bin11111101110010011000…
…101000101001100101100
321201102000001201020121100
4133232103011011030230
5241204133044024321
64345252512403100
7313333554162531
oct37562305051454
97642001636540
102180016001836
117705a3222422
122b2602b46490
1312a7615bc25a
1477728852d88
153ba91ce7326
hex1fb9314532c

2180016001836 has 144 divisors (see below), whose sum is σ = 5769790266240. Its totient is φ = 693300695040.

The previous prime is 2180016001811. The next prime is 2180016001873. The reversal of 2180016001836 is 6381006100812.

2180016001836 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 0 + 1 + 600 + 18 + 36 = 666.

It is a super-2 number, since 2×21800160018362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2180016001836.

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, 89963370 + ... + 89987598.

It is an arithmetic number, because the mean of its divisors is an integer number (40067987960).

Almost surely, 22180016001836 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 2180016001836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884895133120).

2180016001836 is an abundant number, since it is smaller than the sum of its proper divisors (3589774264404).

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

2180016001836 is a wasteful number, since it uses less digits than its factorization.

2180016001836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25624 (or 25619 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2180016001836 in words is "two trillion, one hundred eighty billion, sixteen million, one thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 123 141 164 188 246 282 369 423 492 564 738 846 1297 1476 1692 1927 2594 3854 3891 5188 5781 7708 7782 11562 11673 15564 17343 23124 23346 24229 34686 46692 48458 53177 60959 69372 72687 96916 106354 121918 145374 159531 182877 212708 218061 243836 290748 319062 365754 436122 478593 548631 638124 731508 872244 957186 993389 1097262 1138763 1914372 1986778 2194524 2277526 2499319 2980167 3416289 3973556 4555052 4998638 5960334 6832578 7497957 8940501 9997276 10248867 11920668 13665156 14995914 17881002 20497734 22493871 29991828 31425013 35762004 40995468 44987742 46689283 62850026 89975484 93378566 94275039 125700052 140067849 186757132 188550078 280135698 282825117 377100156 420203547 560271396 565650234 840407094 1131300468 1288425533 1476975611 1680814188 2576851066 2953951222 3865276599 4430926833 5153702132 5907902444 7730553198 8861853666 11595829797 13292780499 15461106396 17723707332 23191659594 26585560998 46383319188 53171121996 60556000051 121112000102 181668000153 242224000204 363336000306 545004000459 726672000612 1090008000918 2180016001836