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6484134816 = 253222514357
BaseRepresentation
bin1100000100111110…
…00000101110100000
3121201220001011210100
412002133000232200
5101234414303231
62551225302400
7316453144065
oct60237005640
917656034710
106484134816
112828141505
12130b634a00
137c4487783
14457234c6c
1527e3ba1e6
hex1827c0ba0

6484134816 has 36 divisors (see below), whose sum is σ = 18439259202. Its totient is φ = 2161378176.

The previous prime is 6484134791. The next prime is 6484134817. The reversal of 6484134816 is 6184314846.

It can be written as a sum of positive squares in only one way, i.e., 5068870416 + 1415264400 = 71196^2 + 37620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6484134817) 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 5 ways as a sum of consecutive naturals, for example, 11256891 + ... + 11257466.

Almost surely, 26484134816 is an apocalyptic number.

It is an amenable number.

6484134816 is an abundant number, since it is smaller than the sum of its proper divisors (11955124386).

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

6484134816 is a wasteful number, since it uses less digits than its factorization.

6484134816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22514373 (or 22514362 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 6484134816 is about 80524.1256767188. The cubic root of 6484134816 is about 1864.7359573675.

The spelling of 6484134816 in words is "six billion, four hundred eighty-four million, one hundred thirty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 22514357 45028714 67543071 90057428 135086142 180114856 202629213 270172284 360229712 405258426 540344568 720459424 810516852 1080689136 1621033704 2161378272 3242067408 6484134816