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163116768 = 25317127787
BaseRepresentation
bin10011011100011…
…11011011100000
3102100221012010210
421232033123200
5313224214033
624104054120
74020320043
oct1156173340
9370835123
10163116768
1184091051
1246764340
1327a422c9
1417940c5a
15e4c0d63
hex9b8f6e0

163116768 has 96 divisors (see below), whose sum is σ = 457519104. Its totient is φ = 50706432.

The previous prime is 163116763. The next prime is 163116781. The reversal of 163116768 is 867611361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163116763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206871 + ... + 207657.

It is an arithmetic number, because the mean of its divisors is an integer number (4765824).

Almost surely, 2163116768 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 163116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228759552).

163116768 is an abundant number, since it is smaller than the sum of its proper divisors (294402336).

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

163116768 is a wasteful number, since it uses less digits than its factorization.

163116768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 936 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 163116768 is about 12771.7175039225. The cubic root of 163116768 is about 546.3859660110.

The spelling of 163116768 in words is "one hundred sixty-three million, one hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 127 136 204 254 272 381 408 508 544 762 787 816 1016 1524 1574 1632 2032 2159 2361 3048 3148 4064 4318 4722 6096 6296 6477 8636 9444 12192 12592 12954 13379 17272 18888 25184 25908 26758 34544 37776 40137 51816 53516 69088 75552 80274 99949 103632 107032 160548 199898 207264 214064 299847 321096 399796 428128 599694 642192 799592 1199388 1284384 1599184 1699133 2398776 3198368 3398266 4797552 5097399 6796532 9595104 10194798 13593064 20389596 27186128 40779192 54372256 81558384 163116768