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12065739696 = 243363144263
BaseRepresentation
bin10110011110010110…
…01001001110110000
31011010212211002021000
423033023021032300
5144202312132241
65313134402000
7605000044443
oct131713111660
934125732230
1012065739696
1151318828aa
122408960300
1311a397115a
1482665165a
154a9408eb6
hex2cf2c93b0

12065739696 has 80 divisors (see below), whose sum is σ = 34688811520. Its totient is φ = 4015448640.

The previous prime is 12065739691. The next prime is 12065739743. The reversal of 12065739696 is 69693756021.

12065739696 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 573 + 9 + 69 + 6 = 666.

12065739696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12065739691) 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 15 ways as a sum of consecutive naturals, for example, 250461 + ... + 294723.

It is an arithmetic number, because the mean of its divisors is an integer number (433610144).

Almost surely, 212065739696 is an apocalyptic number.

12065739696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12065739696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17344405760).

12065739696 is an abundant number, since it is smaller than the sum of its proper divisors (22623071824).

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

12065739696 is a wasteful number, since it uses less digits than its factorization.

12065739696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44911 (or 44899 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 12065739696 in words is "twelve billion, sixty-five million, seven hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 631 1262 1893 2524 3786 5048 5679 7572 10096 11358 15144 17037 22716 30288 34074 44263 45432 68148 88526 90864 132789 136296 177052 265578 272592 354104 398367 531156 708208 796734 1062312 1195101 1593468 2124624 2390202 3186936 4780404 6373872 9560808 19121616 27929953 55859906 83789859 111719812 167579718 223439624 251369577 335159436 446879248 502739154 670318872 754108731 1005478308 1340637744 1508217462 2010956616 3016434924 4021913232 6032869848 12065739696