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18221016640064 = 2677128068223
BaseRepresentation
bin1000010010010011010010…
…01110010110101001000000
32101111220121222102021102112
410021021221032112221000
54342013120224440224
6102430341450434452
73560265530661620
oct411115116265100
971456558367375
1018221016640064
115895542966177
122063431732a28
13a2230825b634
1446dc8abb4880
15218e8546530e
hex109269396a40

18221016640064 has 84 divisors (see below), whose sum is σ = 41912874580992. Its totient is φ = 7699020161280.

The previous prime is 18221016640037. The next prime is 18221016640069. The reversal of 18221016640064 is 46004661012281.

It is not an unprimeable number, because it can be changed into a prime (18221016640069) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1775744 + ... + 6292479.

Almost surely, 218221016640064 is an apocalyptic number.

18221016640064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

18221016640064 is an abundant number, since it is smaller than the sum of its proper divisors (23691857940928).

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

18221016640064 is an frugal number, since it uses more digits than its factorization.

18221016640064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8068384 (or 8068303 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 18221016640064 in words is "eighteen trillion, two hundred twenty-one billion, sixteen million, six hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 224 284 448 497 568 994 1136 1988 2272 3976 4544 5041 7952 10082 15904 20164 31808 35287 40328 70574 80656 141148 161312 282296 322624 564592 1129184 2258368 8068223 16136446 32272892 56477561 64545784 112955122 129091568 225910244 258183136 451820488 516366272 572843833 903640976 1145687666 1807281952 2291375332 3614563904 4009906831 4582750664 8019813662 9165501328 16039627324 18331002656 32079254648 36662005312 40671912143 64158509296 81343824286 128317018592 162687648572 256634037184 284703385001 325375297144 569406770002 650750594288 1138813540004 1301501188576 2277627080008 2603002377152 4555254160016 9110508320032 18221016640064