Search a number
-
+
168269306112 = 2832201736209
BaseRepresentation
bin1001110010110110100…
…0011101100100000000
3121002022222101102102200
42130231220131210000
510224103420243422
6205145111113200
715104604334245
oct2345550354400
9532288342380
10168269306112
11653a9700246
1228741072800
1312b38521a6b
148203c815cc
15459c9322ac
hex272da1d900

168269306112 has 108 divisors (see below), whose sum is σ = 485415834540. Its totient is φ = 56060411904.

The previous prime is 168269306099. The next prime is 168269306113. The reversal of 168269306112 is 211603962861.

168269306112 is a `hidden beast` number, since 1 + 6 + 8 + 26 + 9 + 3 + 0 + 611 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 86097643776 + 82171662336 = 293424^2 + 286656^2 .

It is not an unprimeable number, because it can be changed into a prime (168269306113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4629064 + ... + 4665272.

Almost surely, 2168269306112 is an apocalyptic number.

168269306112 is a gapful number since it is divisible by the number (12) 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 168269306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242707917270).

168269306112 is an abundant number, since it is smaller than the sum of its proper divisors (317146528428).

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

168269306112 is a wasteful number, since it uses less digits than its factorization.

168269306112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38248 (or 38231 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 168269306112 in words is "one hundred sixty-eight billion, two hundred sixty-nine million, three hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2017 2304 4034 6051 8068 12102 16136 18153 24204 32272 36209 36306 48408 64544 72418 72612 96816 108627 129088 144836 145224 193632 217254 258176 289672 290448 325881 387264 434508 516352 579344 580896 651762 774528 869016 1158688 1161792 1303524 1549056 1738032 2317376 2323584 2607048 3476064 4634752 4647168 5214096 6952128 9269504 10428192 13904256 20856384 27808512 41712768 73033553 83425536 146067106 219100659 292134212 438201318 584268424 657301977 876402636 1168536848 1314603954 1752805272 2337073696 2629207908 3505610544 4674147392 5258415816 7011221088 9348294784 10516831632 14022442176 18696589568 21033663264 28044884352 42067326528 56089768704 84134653056 168269306112