Search a number
-
+
7483000128 = 2631971167173
BaseRepresentation
bin1101111100000010…
…11000010101000000
3201022111120210101220
412332001120111000
5110311122001003
63234310355040
7353302310622
oct67601302500
921274523356
107483000128
11319aa5a82a
12154a05ba80
139233b8336
1450db68c12
152dbe25353
hex1be058540

7483000128 has 224 divisors, whose sum is σ = 21383792640. Its totient is φ = 2302433280.

The previous prime is 7483000127. The next prime is 7483000141. The reversal of 7483000128 is 8210003847.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7483000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43254250 + ... + 43254422.

It is an arithmetic number, because the mean of its divisors is an integer number (95463360).

Almost surely, 27483000128 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 7483000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10691896320).

7483000128 is an abundant number, since it is smaller than the sum of its proper divisors (13900792512).

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

7483000128 is a wasteful number, since it uses less digits than its factorization.

7483000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 7483000128 is about 86504.3358913297. The cubic root of 7483000128 is about 1955.9537629010.

The spelling of 7483000128 in words is "seven billion, four hundred eighty-three million, one hundred twenty-eight", and thus it is an aban number.