Search a number
-
+
6430725000 = 23335571361
BaseRepresentation
bin1011111110100110…
…10001001110001000
3121121011112200022000
411333103101032020
5101132231200000
62542040431000
7315234155250
oct57723211610
917534480260
106430725000
1127aaa81967
1212b5778460
137b63a732b
144500d0960
1527986a000
hex17f4d1388

6430725000 has 384 divisors, whose sum is σ = 25535865600. Its totient is φ = 1468800000.

The previous prime is 6430724983. The next prime is 6430725011. The reversal of 6430725000 is 5270346.

It is a happy number.

6430725000 is a `hidden beast` number, since 64 + 30 + 72 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 4724320 + ... + 4725680.

It is an arithmetic number, because the mean of its divisors is an integer number (66499650).

Almost surely, 26430725000 is an apocalyptic number.

6430725000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6430725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767932800).

6430725000 is an abundant number, since it is smaller than the sum of its proper divisors (19105140600).

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

6430725000 is a wasteful number, since it uses less digits than its factorization.

6430725000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 6430725000 is about 80191.8013265695. The cubic root of 6430725000 is about 1859.6018919036.

Adding to 6430725000 its reverse (5270346), we get a palindrome (6435995346).

The spelling of 6430725000 in words is "six billion, four hundred thirty million, seven hundred twenty-five thousand".