Search a number
-
+
368165395248 = 24374322692203
BaseRepresentation
bin1010101101110000101…
…11100001101100110000
31022012022002010220000120
411112320113201230300
522013000320121443
6441044410050240
735412324140160
oct5267027415460
91265262126016
10368165395248
111321578496a2
125b429a19980
132894415b301
1413b682345a0
15989bbcd083
hex55b85e1b30

368165395248 has 240 divisors, whose sum is σ = 1117474548480. Its totient is φ = 102315419136.

The previous prime is 368165395243. The next prime is 368165395307. The reversal of 368165395248 is 842593561863.

It is a junction number, because it is equal to n+sod(n) for n = 368165395191 and 368165395200.

It is not an unprimeable number, because it can be changed into a prime (368165395243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167118915 + ... + 167121117.

It is an arithmetic number, because the mean of its divisors is an integer number (4656143952).

Almost surely, 2368165395248 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 368165395248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558737274240).

368165395248 is an abundant number, since it is smaller than the sum of its proper divisors (749309153232).

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

368165395248 is a wasteful number, since it uses less digits than its factorization.

368165395248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2527 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 60.

The spelling of 368165395248 in words is "three hundred sixty-eight billion, one hundred sixty-five million, three hundred ninety-five thousand, two hundred forty-eight".