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11682208258053 = 34110313915143933
BaseRepresentation
bin1010100111111111100111…
…0111111001100000000101
31112100210211011211221100220
42221333321313321200011
53012400130303224203
640502422110054553
72314004003535144
oct251777167714005
945323734757326
1011682208258053
1137a4440009543
12138810baaa459
13669820849728
142c55c998175b
15153d337e4653
hexa9ff9df9805

11682208258053 has 64 divisors (see below), whose sum is σ = 16334843965440. Its totient is φ = 7420641984000.

The previous prime is 11682208258031. The next prime is 11682208258087. The reversal of 11682208258053 is 35085280228611.

It is a happy number.

It is not a de Polignac number, because 11682208258053 - 26 = 11682208257989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11682208257987 and 11682208258005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11682308258053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265887675 + ... + 265931607.

It is an arithmetic number, because the mean of its divisors is an integer number (255231936960).

Almost surely, 211682208258053 is an apocalyptic number.

It is an amenable number.

11682208258053 is a deficient number, since it is larger than the sum of its proper divisors (4652635707387).

11682208258053 is a wasteful number, since it uses less digits than its factorization.

11682208258053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44370.

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 11682208258053 in words is "eleven trillion, six hundred eighty-two billion, two hundred eight million, two hundred fifty-eight thousand, fifty-three".

Divisors: 1 3 41 103 123 139 151 309 417 453 4223 5699 6191 12669 14317 15553 17097 18573 20989 42951 43933 46659 62967 131799 586997 637673 860549 1760991 1801253 1913019 2161867 2581647 4525099 5403759 6106687 6485601 6633883 13575297 18320061 19901649 88636547 185529059 250374167 265909641 271989203 556587177 628988761 683289949 751122501 815967609 922109737 1886966283 2049869847 2766329211 25788539201 28014887909 37806499217 77365617603 84044663727 94977302911 113419497651 284931908733 3894069419351 11682208258053