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12466116201 = 37111719167077
BaseRepresentation
bin10111001110000100…
…11101011001101001
31012011210012022120110
423213002131121221
5201012311204301
65421000044533
7620631145050
oct134702353151
935153168513
1012466116201
115317885680
1224baa63749
1312388b4c26
148638b3397
154ce6440d6
hex2e709d669

12466116201 has 64 divisors (see below), whose sum is σ = 23096862720. Its totient is φ = 5774146560.

The previous prime is 12466116199. The next prime is 12466116227. The reversal of 12466116201 is 10261166421.

It is not a de Polignac number, because 12466116201 - 21 = 12466116199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12466115201) 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, 8926 + ... + 158151.

It is an arithmetic number, because the mean of its divisors is an integer number (360888480).

Almost surely, 212466116201 is an apocalyptic number.

12466116201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12466116201 is a deficient number, since it is larger than the sum of its proper divisors (10630746519).

12466116201 is a wasteful number, since it uses less digits than its factorization.

12466116201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167134.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 12466116201 in words is "twelve billion, four hundred sixty-six million, one hundred sixteen thousand, two hundred one".

Divisors: 1 3 7 11 17 19 21 33 51 57 77 119 133 187 209 231 323 357 399 561 627 969 1309 1463 2261 3553 3927 4389 6783 10659 24871 74613 167077 501231 1169539 1837847 2840309 3174463 3508617 5513541 8520927 9523389 12864929 19882163 22221241 31243399 34919093 38594787 53965871 59646489 66663723 93730197 104757279 161897613 218703793 244433651 377761097 593624581 656111379 733300953 1133283291 1780873743 4155372067 12466116201