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6501452820 = 223541101137191
BaseRepresentation
bin1100000111000010…
…00100110000010100
3121210002122000121220
412003201010300110
5101303332442240
62553044410340
7320053302642
oct60341046024
917702560556
106501452820
11283699a805
1213153a69b0
137c7c3c205
14459662192
15280b8b5d0
hex183844c14

6501452820 has 192 divisors, whose sum is σ = 19069489152. Its totient is φ = 1653760000.

The previous prime is 6501452819. The next prime is 6501452833. The reversal of 6501452820 is 282541056.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 34038925 + ... + 34039115.

It is an arithmetic number, because the mean of its divisors is an integer number (99320256).

Almost surely, 26501452820 is an apocalyptic number.

6501452820 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 6501452820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534744576).

6501452820 is an abundant number, since it is smaller than the sum of its proper divisors (12568036332).

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

6501452820 is a wasteful number, since it uses less digits than its factorization.

6501452820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 6501452820 is about 80631.5869867386. The cubic root of 6501452820 is about 1866.3946107907.

Adding to 6501452820 its reverse (282541056), we get a palindrome (6783993876).

The spelling of 6501452820 in words is "six billion, five hundred one million, four hundred fifty-two thousand, eight hundred twenty".