Search a number
-
+
8500125968 = 24294728293
BaseRepresentation
bin1111110101010010…
…11010000100010000
3210221101111010202022
413322221122010100
5114402013012333
63523243111012
7420432610235
oct77251320420
923841433668
108500125968
1136721104a4
121792812468
13a56040649
145a8c9378c
1534b38ac98
hex1faa5a110

8500125968 has 60 divisors (see below), whose sum is σ = 17409188940. Its totient is φ = 4015716096.

The previous prime is 8500125869. The next prime is 8500125973. The reversal of 8500125968 is 8695210058.

It can be written as a sum of positive squares in 2 ways, for example, as 3096699904 + 5403426064 = 55648^2 + 73508^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1020830 + ... + 1029122.

It is an arithmetic number, because the mean of its divisors is an integer number (290153149).

Almost surely, 28500125968 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 8500125968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704594470).

8500125968 is an abundant number, since it is smaller than the sum of its proper divisors (8909062972).

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

8500125968 is a wasteful number, since it uses less digits than its factorization.

8500125968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8424 (or 8371 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 44.

The square root of 8500125968 is about 92196.1277277956. The cubic root of 8500125968 is about 2040.8376324369.

The spelling of 8500125968 in words is "eight billion, five hundred million, one hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 29 47 58 94 116 188 232 376 464 752 1363 2209 2726 4418 5452 8293 8836 10904 16586 17672 21808 33172 35344 64061 66344 128122 132688 240497 256244 389771 480994 512488 779542 961988 1024976 1559084 1923976 3118168 3847952 6236336 11303359 18319237 22606718 36638474 45213436 73276948 90426872 146553896 180853744 293107792 531257873 1062515746 2125031492 4250062984 8500125968