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13322464168 = 23131374212221
BaseRepresentation
bin11000110100001010…
…01010101110101000
31021101110120022010211
430122011022232220
5204241022323133
610041550350504
7651100035256
oct143205125650
937343508124
1013322464168
115717202572
1226b97bb434
1313441366c0
149055095d6
1552e8ebbcd
hex31a14aba8

13322464168 has 64 divisors (see below), whose sum is σ = 27174082320. Its totient is φ = 6086707200.

The previous prime is 13322464159. The next prime is 13322464187. The reversal of 13322464168 is 86146422331.

It can be written as a sum of positive squares in 8 ways, for example, as 1714125604 + 11608338564 = 41402^2 + 107742^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13322464168.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5997298 + ... + 5999518.

Almost surely, 213322464168 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 13322464168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13587041160).

13322464168 is an abundant number, since it is smaller than the sum of its proper divisors (13851618152).

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

13322464168 is a wasteful number, since it uses less digits than its factorization.

13322464168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2794 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

Adding to 13322464168 its reverse (86146422331), we get a palindrome (99468886499).

The spelling of 13322464168 in words is "thirteen billion, three hundred twenty-two million, four hundred sixty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 137 274 421 548 842 1096 1684 1781 2221 3368 3562 4442 5473 7124 8884 10946 14248 17768 21892 28873 43784 57677 57746 115354 115492 230708 230984 304277 461416 608554 749801 935041 1217108 1499602 1870082 2434216 2999204 3740164 3955601 5998408 7480328 7911202 12155533 15822404 24311066 31644808 48622132 97244264 128100617 256201234 512402468 1024804936 1665308021 3330616042 6661232084 13322464168