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6406336441 = 23383727249
BaseRepresentation
bin1011111011101100…
…01110111110111001
3121112110122121111001
411331312032332321
5101110010231231
62535410005001
7314516650501
oct57566167671
917473577431
106406336441
11279823442a
1212a9576761
137b131852b
1444ab82a01
1527764db61
hex17dd8efb9

6406336441 has 8 divisors (see below), whose sum is σ = 6702336000. Its totient is φ = 6111792192.

The previous prime is 6406336439. The next prime is 6406336451. The reversal of 6406336441 is 1446336046.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6406336441 - 21 = 6406336439 is a prime.

It is a super-2 number, since 2×64063364412 = 82082293190569092962, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6406336441.

It is not an unprimeable number, because it can be changed into a prime (6406336411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354816 + ... + 372433.

It is an arithmetic number, because the mean of its divisors is an integer number (837792000).

Almost surely, 26406336441 is an apocalyptic number.

It is an amenable number.

6406336441 is a deficient number, since it is larger than the sum of its proper divisors (295999559).

6406336441 is a wasteful number, since it uses less digits than its factorization.

6406336441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727655.

The product of its (nonzero) digits is 124416, while the sum is 37.

The square root of 6406336441 is about 80039.5929587351. The cubic root of 6406336441 is about 1857.2480637111.

The spelling of 6406336441 in words is "six billion, four hundred six million, three hundred thirty-six thousand, four hundred forty-one".

Divisors: 1 23 383 8809 727249 16726727 278536367 6406336441