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180180018216 = 23331192981629
BaseRepresentation
bin1010011111001110010…
…0001110010000101000
3122020002001111021211000
42213303210032100220
510423002041040331
6214435031035000
716006012612362
oct2476344162050
9566061437730
10180180018216
116a460a17570
122ab05b0ba60
1313cb60237c3
148a13a99d32
154a484170e6
hex29f390e428

180180018216 has 128 divisors (see below), whose sum is σ = 546594480000. Its totient is φ = 54540564480.

The previous prime is 180180018209. The next prime is 180180018229. The reversal of 180180018216 is 612810081081.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2166490 + ... + 2248118.

It is an arithmetic number, because the mean of its divisors is an integer number (4270269375).

Almost surely, 2180180018216 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 180180018216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273297240000).

180180018216 is an abundant number, since it is smaller than the sum of its proper divisors (366414461784).

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

180180018216 is a wasteful number, since it uses less digits than its factorization.

180180018216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82584 (or 82574 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 36.

Adding to 180180018216 its reverse (612810081081), we get a palindrome (792990099297).

The spelling of 180180018216 in words is "one hundred eighty billion, one hundred eighty million, eighteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 929 1188 1858 2376 2787 3716 5574 7432 8361 10219 11148 16722 20438 22296 25083 30657 33444 40876 50166 61314 66888 81629 81752 91971 100332 122628 163258 183942 200664 244887 245256 275913 326516 367884 489774 551826 653032 734661 735768 897919 979548 1103652 1469322 1795838 1959096 2203983 2207304 2693757 2938644 3591676 4407966 5387514 5877288 7183352 8081271 8815932 10775028 16162542 17631864 21550056 24243813 32325084 48487626 64650168 75833341 96975252 151666682 193950504 227500023 303333364 455000046 606666728 682500069 834166751 910000092 1365000138 1668333502 1820000184 2047500207 2502500253 2730000276 3336667004 4095000414 5005000506 5460000552 6673334008 7507500759 8190000828 10010001012 15015001518 16380001656 20020002024 22522502277 30030003036 45045004554 60060006072 90090009108 180180018216