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218730037812 = 2231113235541959
BaseRepresentation
bin1100101110110101010…
…0111000001000110100
3202220120200011012010120
43023231110320020310
512040424342202222
6244252211451540
721542222434146
oct3135524701064
9686520135116
10218730037812
11848434498a0
12364842b6bb0
131781a8780a0
14a82d864c96
155a5298515c
hex32ed538234

218730037812 has 96 divisors (see below), whose sum is σ = 625665116160. Its totient is φ = 58523076480.

The previous prime is 218730037783. The next prime is 218730037831.

218730037812 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2731512 + ... + 2810447.

It is an arithmetic number, because the mean of its divisors is an integer number (6517344960).

Almost surely, 2218730037812 is an apocalyptic number.

218730037812 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

218730037812 is an abundant number, since it is smaller than the sum of its proper divisors (406935078348).

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

218730037812 is a wasteful number, since it uses less digits than its factorization.

218730037812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5542013 (or 5542011 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 218730037812 in words is "two hundred eighteen billion, seven hundred thirty million, thirty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 23 26 33 39 44 46 52 66 69 78 92 132 138 143 156 253 276 286 299 429 506 572 598 759 858 897 1012 1196 1518 1716 1794 3036 3289 3588 6578 9867 13156 19734 39468 5541959 11083918 16625877 22167836 33251754 60961549 66503508 72045467 121923098 127465057 144090934 182884647 216136401 243846196 254930114 288181868 365769294 382395171 432272802 509860228 731538588 764790342 792500137 864545604 1402115627 1529580684 1585000274 1657045741 2377500411 2804231254 3170000548 3314091482 4206346881 4755000822 4971137223 5608462508 6628182964 8412693762 9510001644 9942274446 16825387524 18227503151 19884548892 36455006302 54682509453 72910012604 109365018906 218730037812