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6304100000 = 2555112521
BaseRepresentation
bin1011101111100000…
…01110111010100000
3121021100021110110012
411313300032322200
5100402322200000
62521314424052
7312135652202
oct56760167240
917240243405
106304100000
112745555700
12127b292028
137960a0ab3
1443b36c772
1526d6a6735
hex177c0eea0

6304100000 has 216 divisors, whose sum is σ = 17084211228. Its totient is φ = 2288000000.

The previous prime is 6304099993. The next prime is 6304100029. The reversal of 6304100000 is 14036.

It can be written as a sum of positive squares in 6 ways, for example, as 1267075216 + 5037024784 = 35596^2 + 70972^2 .

It is a super-3 number, since 3×63041000003 (a number of 30 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 12099740 + ... + 12100260.

Almost surely, 26304100000 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 6304100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542105614).

6304100000 is an abundant number, since it is smaller than the sum of its proper divisors (10780111228).

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

6304100000 is an equidigital number, since it uses as much as digits as its factorization.

6304100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 6304100000 is about 79398.3627035218. The cubic root of 6304100000 is about 1847.3153170294.

Adding to 6304100000 its reverse (14036), we get a palindrome (6304114036).

The spelling of 6304100000 in words is "six billion, three hundred four million, one hundred thousand".