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6460425216 = 2103573709
BaseRepresentation
bin1100000010001001…
…00100010000000000
3121200020102121100000
412001010210100000
5101212332101331
62545021200000
7316044464640
oct60104442000
917606377300
106460425216
1128158180a3
121303700000
137bc5a5a1b
14454022520
1527c2850e6
hex181124400

6460425216 has 264 divisors, whose sum is σ = 22114805440. Its totient is φ = 1845338112.

The previous prime is 6460425157. The next prime is 6460425259. The reversal of 6460425216 is 6125240646.

6460425216 is a `hidden beast` number, since 6 + 4 + 604 + 25 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1739970 + ... + 1743678.

Almost surely, 26460425216 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 6460425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11057402720).

6460425216 is an abundant number, since it is smaller than the sum of its proper divisors (15654380224).

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

6460425216 is an equidigital number, since it uses as much as digits as its factorization.

6460425216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6460425216 is about 80376.7703755258. The cubic root of 6460425216 is about 1862.4603445215.

The spelling of 6460425216 in words is "six billion, four hundred sixty million, four hundred twenty-five thousand, two hundred sixteen".