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12005363649999 = 353799720274861
BaseRepresentation
bin1010111010110011011101…
…1011111000110111001111
31120111200221102201202101010
42232230313123320313033
53033143441043244444
641311104331420303
72346234050205036
oct256546733706717
946450842652333
1012005363649999
11390949a88a4a5
12141a877bb4693
136911409a3695
142d70c40a171d
1515c448c5a2b9
hexaeb376f8dcf

12005363649999 has 64 divisors (see below), whose sum is σ = 16697548707840. Its totient is φ = 7667872542720.

The previous prime is 12005363649977. The next prime is 12005363650061. The reversal of 12005363649999 is 99994636350021.

It is not a de Polignac number, because 12005363649999 - 241 = 9806340394447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12005363645999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2469728829 + ... + 2469733689.

It is an arithmetic number, because the mean of its divisors is an integer number (260899198560).

Almost surely, 212005363649999 is an apocalyptic number.

12005363649999 is a deficient number, since it is larger than the sum of its proper divisors (4692185057841).

12005363649999 is a wasteful number, since it uses less digits than its factorization.

12005363649999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120.

The product of its (nonzero) digits is 85030560, while the sum is 66.

The spelling of 12005363649999 in words is "twelve trillion, five billion, three hundred sixty-three million, six hundred forty-nine thousand, nine hundred ninety-nine".

Divisors: 1 3 53 79 97 159 237 291 2027 4187 4861 5141 6081 7663 12561 14583 15423 22989 107431 160133 196619 257633 322293 384019 406139 471517 480399 589857 772899 1152057 1218417 1414551 8487049 9853247 10420807 15532901 20353007 24990401 25461147 29559741 31262421 37249843 46598703 61059021 74971203 111749529 522222091 778406513 823243753 955764959 1566666273 1974241679 2335219539 2469731259 2867294877 5922725037 41255545189 50655542827 75505431761 123766635567 151966628481 226516295283 4001787883333 12005363649999