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6485975496 = 233271113312903
BaseRepresentation
bin1100000101001100…
…00010000111001000
3121202000111200201200
412002212002013020
5101240402203441
62551332544200
7316504611360
oct60246020710
917660450650
106485975496
112829189430
121310182060
137c4980530
144575939a0
1527e6307b6
hex1829821c8

6485975496 has 384 divisors, whose sum is σ = 24354570240. Its totient is φ = 1504396800.

The previous prime is 6485975491. The next prime is 6485975497. The reversal of 6485975496 is 6945795846.

6485975496 is a `hidden beast` number, since 6 + 4 + 85 + 9 + 7 + 549 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6485975491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2232781 + ... + 2235683.

It is an arithmetic number, because the mean of its divisors is an integer number (63423360).

Almost surely, 26485975496 is an apocalyptic number.

6485975496 is a gapful number since it is divisible by the number (66) 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 6485975496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177285120).

6485975496 is an abundant number, since it is smaller than the sum of its proper divisors (17868594744).

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

6485975496 is a wasteful number, since it uses less digits than its factorization.

6485975496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2970 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 6485975496 is about 80535.5542353810. The cubic root of 6485975496 is about 1864.9123909520.

The spelling of 6485975496 in words is "six billion, four hundred eighty-five million, nine hundred seventy-five thousand, four hundred ninety-six".