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216949942188 = 2236710628549
BaseRepresentation
bin1100101000001100111…
…0010110011110101100
3202201222121120222000000
43022003032112132230
512023303141122223
6243355422104300
721450136040040
oct3120316263654
9681877528000
10216949942188
118400a64a691
123606811b090
13175c5b36a75
14a701290020
15599b55e543
hex32833967ac

216949942188 has 84 divisors (see below), whose sum is σ = 650552288400. Its totient is φ = 61985691936.

The previous prime is 216949942159. The next prime is 216949942211. The reversal of 216949942188 is 881249949612.

216949942188 is a `hidden beast` number, since 2 + 1 + 69 + 499 + 4 + 2 + 1 + 88 = 666.

216949942188 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 5293863 + ... + 5334686.

It is an arithmetic number, because the mean of its divisors is an integer number (7744670100).

Almost surely, 2216949942188 is an apocalyptic number.

216949942188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

216949942188 is an abundant number, since it is smaller than the sum of its proper divisors (433602346212).

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

216949942188 is a wasteful number, since it uses less digits than its factorization.

216949942188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10628578 (or 10628561 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 216949942188 in words is "two hundred sixteen billion, nine hundred forty-nine million, nine hundred forty-two thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5103 6804 10206 20412 10628549 21257098 31885647 42514196 63771294 74399843 95656941 127542588 148799686 191313882 223199529 286970823 297599372 382627764 446399058 573941646 669598587 860912469 892798116 1147883292 1339197174 1721824938 2008795761 2582737407 2678394348 3443649876 4017591522 5165474814 6026387283 7748212221 8035183044 10330949628 12052774566 15496424442 18079161849 24105549132 30992848884 36158323698 54237485547 72316647396 108474971094 216949942188