Search a number
-
+
8205106528 = 251913495241
BaseRepresentation
bin1111010010000111…
…11111110101100000
3210011211100121011101
413221003333311200
5113301001402103
63434103524144
7410221153243
oct75103776540
923154317141
108205106528
113530628a83
12170ba59654
13a09b97828
1457ba1925a
15330512a1d
hex1e90ffd60

8205106528 has 24 divisors (see below), whose sum is σ = 17004004920. Its totient is φ = 3886629120.

The previous prime is 8205106501. The next prime is 8205106529. The reversal of 8205106528 is 8256015028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205106529) 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 3 ways as a sum of consecutive naturals, for example, 6747013 + ... + 6748228.

It is an arithmetic number, because the mean of its divisors is an integer number (708500205).

Almost surely, 28205106528 is an apocalyptic number.

It is an amenable number.

8205106528 is an abundant number, since it is smaller than the sum of its proper divisors (8798898392).

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

8205106528 is a wasteful number, since it uses less digits than its factorization.

8205106528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13495270 (or 13495262 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 8205106528 is about 90582.0430769808. The cubic root of 8205106528 is about 2016.9481845033.

The spelling of 8205106528 in words is "eight billion, two hundred five million, one hundred six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 13495241 26990482 53980964 107961928 215923856 256409579 431847712 512819158 1025638316 2051276632 4102553264 8205106528