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13323201168 = 2432383145399
BaseRepresentation
bin11000110100001111…
…11110101010010000
31021101111221202010010
430122013332222100
5204241214414133
610042014234520
7651106225044
oct143207765220
937344852103
1013323201168
115717666262
1226b9ab5a40
131344333cb4
1490565c024
1552e9e5263
hex31a1fea90

13323201168 has 80 divisors (see below), whose sum is σ = 36347673600. Its totient is φ = 4196767872.

The previous prime is 13323201167. The next prime is 13323201247. The reversal of 13323201168 is 86110232331.

13323201168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13323201161) 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, 18933 + ... + 164331.

It is an arithmetic number, because the mean of its divisors is an integer number (454345920).

Almost surely, 213323201168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13323201168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18173836800).

13323201168 is an abundant number, since it is smaller than the sum of its proper divisors (23024472432).

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

13323201168 is a wasteful number, since it uses less digits than its factorization.

13323201168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145516 (or 145510 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 13323201168 its reverse (86110232331), we get a palindrome (99433433499).

The spelling of 13323201168 in words is "thirteen billion, three hundred twenty-three million, two hundred one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 184 249 276 332 368 498 552 664 996 1104 1328 1909 1992 3818 3984 5727 7636 11454 15272 22908 30544 45816 91632 145399 290798 436197 581596 872394 1163192 1744788 2326384 3344177 3489576 6688354 6979152 10032531 12068117 13376708 20065062 24136234 26753416 36204351 40130124 48272468 53506832 72408702 80260248 96544936 144817404 160520496 193089872 277566691 289634808 555133382 579269616 832700073 1110266764 1665400146 2220533528 3330800292 4441067056 6661600584 13323201168