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6463332340 = 2251759332057
BaseRepresentation
bin1100000010011111…
…01001111111110100
3121200102220022011021
412001033221333310
5101214103113330
62545203350524
7316111263343
oct60117517764
917612808137
106463332340
112817423283
121304682444
137c008300a
1445457bb5a
1527c65b67a
hex1813e9ff4

6463332340 has 48 divisors (see below), whose sum is σ = 14396093712. Its totient is φ = 2429075456.

The previous prime is 6463332331. The next prime is 6463332361. The reversal of 6463332340 is 432333646.

It can be written as a sum of positive squares in 8 ways, for example, as 1513365604 + 4949966736 = 38902^2 + 70356^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 6463332296 and 6463332305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185592 + ... + 217648.

It is an arithmetic number, because the mean of its divisors is an integer number (299918619).

Almost surely, 26463332340 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 6463332340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198046856).

6463332340 is an abundant number, since it is smaller than the sum of its proper divisors (7932761372).

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

6463332340 is a wasteful number, since it uses less digits than its factorization.

6463332340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32676 (or 32674 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 34.

The square root of 6463332340 is about 80394.8526959282. The cubic root of 6463332340 is about 1862.7396652085.

Adding to 6463332340 its reverse (432333646), we get a palindrome (6895665986).

The spelling of 6463332340 in words is "six billion, four hundred sixty-three million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 593 1186 2372 2965 5930 10081 11860 20162 32057 40324 50405 64114 100810 128228 160285 201620 320570 544969 641140 1089938 2179876 2724845 5449690 10899380 19009801 38019602 76039204 95049005 190098010 323166617 380196020 646333234 1292666468 1615833085 3231666170 6463332340