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216528606825612 = 223415327130641147
BaseRepresentation
bin110001001110111001111110…
…101100011000110010001100
31001101122221011220101212221020
4301032321332230120302030
5211340101041321404422
62044303511352234140
763415450505244624
oct6116717654306214
91041587156355836
10216528606825612
1162aa12a2733754
122035084039b950
1393a873845b2b3
143b6807d157884
151a0761522e95c
hexc4ee7eb18c8c

216528606825612 has 96 divisors (see below), whose sum is σ = 529267245825024. Its totient is φ = 68832270374400.

The previous prime is 216528606825611. The next prime is 216528606825617.

216528606825612 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (216528606825611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8253978 + ... + 22387169.

It is an arithmetic number, because the mean of its divisors is an integer number (5513200477344).

Almost surely, 2216528606825612 is an apocalyptic number.

It is an amenable number.

216528606825612 is an abundant number, since it is smaller than the sum of its proper divisors (312738638999412).

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

216528606825612 is a wasteful number, since it uses less digits than its factorization.

216528606825612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30641519 (or 30641517 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 216528606825612 in words is "two hundred sixteen trillion, five hundred twenty-eight billion, six hundred six million, eight hundred twenty-five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 41 53 82 106 123 159 164 212 246 271 318 492 542 636 813 1084 1626 2173 3252 4346 6519 8692 11111 13038 14363 22222 26076 28726 33333 43089 44444 57452 66666 86178 133332 172356 588883 1177766 1766649 2355532 3533298 7066596 30641147 61282294 91923441 122564588 183846882 367693764 1256287027 1623980791 2512574054 3247961582 3768861081 4871942373 5025148108 6495923164 7537722162 8303750837 9743884746 15075444324 16607501674 19487769492 24911252511 33215003348 49822505022 66583212431 99645010044 133166424862 199749637293 266332849724 340453784317 399499274586 440098794361 680907568634 798998549172 880197588722 1021361352951 1320296383083 1361815137268 1760395177444 2042722705902 2640592766166 4085445411804 5281185532332 18044050568801 36088101137602 54132151706403 72176202275204 108264303412806 216528606825612