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643415201 = 112131724061
BaseRepresentation
bin100110010110011…
…011110010100001
31122211200212201122
4212112123302201
52304203241301
6143502342025
721641640032
oct4626336241
91584625648
10643415201
11300211400
1215b58a915
13a33b9a70
1461648a89
153b74681b
hex2659bca1

643415201 has 24 divisors (see below), whose sum is σ = 806461992. Its totient is φ = 508147200.

The previous prime is 643415197. The next prime is 643415203. The reversal of 643415201 is 102514346.

643415201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 266472976 + 376942225 = 16324^2 + 19415^2 .

It is not a de Polignac number, because 643415201 - 22 = 643415197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (643415203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14711 + ... + 38771.

It is an arithmetic number, because the mean of its divisors is an integer number (33602583).

Almost surely, 2643415201 is an apocalyptic number.

It is an amenable number.

643415201 is a deficient number, since it is larger than the sum of its proper divisors (163046791).

643415201 is a wasteful number, since it uses less digits than its factorization.

643415201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24113 (or 24102 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 643415201 is about 25365.6303095350. The cubic root of 643415201 is about 863.3040381858.

Adding to 643415201 its reverse (102514346), we get a palindrome (745929547).

The spelling of 643415201 in words is "six hundred forty-three million, four hundred fifteen thousand, two hundred one".

Divisors: 1 11 13 17 121 143 187 221 1573 2057 2431 24061 26741 264671 312793 409037 2911381 3440723 4499407 5317481 37847953 49493477 58492291 643415201