Search a number
-
+
8122507050 = 2352722953719
BaseRepresentation
bin1111001000010001…
…11001111100101010
3202222001221002222110
413210020321330222
5113113330211200
63421553303150
7405166112400
oct74410717452
922861832873
108122507050
113498a41849
1216a8264ab6
139c5a371b8
14570a77470
15328148b50
hex1e4239f2a

8122507050 has 288 divisors, whose sum is σ = 24732345600. Its totient is φ = 1756285440.

The previous prime is 8122507037. The next prime is 8122507091. The reversal of 8122507050 is 507052218.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8122506999 and 8122507017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11296591 + ... + 11297309.

It is an arithmetic number, because the mean of its divisors is an integer number (85876200).

Almost surely, 28122507050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8122507050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12366172800).

8122507050 is an abundant number, since it is smaller than the sum of its proper divisors (16609838550).

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

8122507050 is a wasteful number, since it uses less digits than its factorization.

8122507050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 8122507050 is about 90124.9524271719. The cubic root of 8122507050 is about 2010.1572486565.

Adding to 8122507050 its reverse (507052218), we get a palindrome (8629559268).

The spelling of 8122507050 in words is "eight billion, one hundred twenty-two million, five hundred seven thousand, fifty".