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13334188986 = 2321755778233
BaseRepresentation
bin11000110101100011…
…11001001110111010
31021102021121222120100
430122301321032322
5204302023021421
610043045540230
7651301510356
oct143261711672
937367558510
1013334188986
1157228905a8
122701714676
1313466b0371
14906cbc466
15530965c26
hex31ac793ba

13334188986 has 48 divisors (see below), whose sum is σ = 30645509544. Its totient is φ = 4175711232.

The previous prime is 13334188939. The next prime is 13334189081. The reversal of 13334188986 is 68988143331.

13334188986 is a `hidden beast` number, since 133 + 3 + 418 + 8 + 98 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6114458025 + 7219730961 = 78195^2 + 84969^2 .

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 23 ways as a sum of consecutive naturals, for example, 131326 + ... + 209558.

Almost surely, 213334188986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13334188986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15322754772).

13334188986 is an abundant number, since it is smaller than the sum of its proper divisors (17311320558).

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

13334188986 is a wasteful number, since it uses less digits than its factorization.

13334188986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78815 (or 78812 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 13334188986 in words is "thirteen billion, three hundred thirty-four million, one hundred eighty-eight thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 557 1114 1671 3342 5013 9469 10026 18938 28407 56814 78233 85221 156466 170442 234699 469398 704097 1329961 1408194 2659922 3989883 7979766 11969649 23939298 43575781 87151562 130727343 261454686 392182029 740788277 784364058 1481576554 2222364831 4444729662 6667094493 13334188986