Search a number
-
+
8201561344 = 28271118219
BaseRepresentation
bin1111010001101100…
…11110010100000000
3210011120200111002021
413220312132110000
5113244044430334
63433455531224
7410146056364
oct75066362400
923146614067
108201561344
113529627479
12170a829b14
13a09225ca2
1457b3752a4
153300623b4
hex1e8d9e500

8201561344 has 36 divisors (see below), whose sum is σ = 16431634240. Its totient is φ = 4085614080.

The previous prime is 8201561341. The next prime is 8201561351. The reversal of 8201561344 is 4431651028.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201561341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10267 + ... + 128485.

Almost surely, 28201561344 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 8201561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8215817120).

8201561344 is an abundant number, since it is smaller than the sum of its proper divisors (8230072896).

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

8201561344 is a wasteful number, since it uses less digits than its factorization.

8201561344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118506 (or 118492 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 8201561344 is about 90562.4720510654. The cubic root of 8201561344 is about 2016.6576547587.

The spelling of 8201561344 in words is "eight billion, two hundred one million, five hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 271 542 1084 2168 4336 8672 17344 34688 69376 118219 236438 472876 945752 1891504 3783008 7566016 15132032 30264064 32037349 64074698 128149396 256298792 512597584 1025195168 2050390336 4100780672 8201561344