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6432200401 = 1122323172
BaseRepresentation
bin1011111110110001…
…11001011011010001
3121121021022122011111
411333120321123101
5101133120403101
62542132213321
7315252541564
oct57730713321
917537278144
106432200401
11280089a400
1212b616a241
137b67a2a53
144503964db
15279a5c251
hex17f6396d1

6432200401 has 27 divisors (see below), whose sum is σ = 7414254043. Its totient is φ = 5575573520.

The previous prime is 6432200399. The next prime is 6432200407. The reversal of 6432200401 is 1040022346.

It is a happy number.

The square root of 6432200401 is 80201.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 360050625 + 6072149776 = 18975^2 + 77924^2 .

It is not a de Polignac number, because 6432200401 - 21 = 6432200399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6432200407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20290695 + ... + 20291011.

Almost surely, 26432200401 is an apocalyptic number.

6432200401 is the 80201-st square number.

6432200401 is the 40101-st centered octagonal number.

It is an amenable number.

6432200401 is a deficient number, since it is larger than the sum of its proper divisors (982053642).

6432200401 is an equidigital number, since it uses as much as digits as its factorization.

6432200401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The cubic root of 6432200401 is about 1859.7440971599.

Adding to 6432200401 its reverse (1040022346), we get a palindrome (7472222747).

The spelling of 6432200401 in words is "six billion, four hundred thirty-two million, two hundred thousand, four hundred one".

Divisors: 1 11 23 121 253 317 529 2783 3487 5819 7291 38357 64009 80201 100489 167693 882211 1105379 1844623 2311247 12159169 20290853 25423717 53158681 279660887 584745491 6432200401