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6057006721 = 1710923314029
BaseRepresentation
bin1011010010000011…
…01001011010000001
3120122010022211012021
411221001221122001
544401043203341
62441010401441
7303045464503
oct55101513201
916563284167
106057006721
112629027887
121210590281
13756b3845c
1441660bd73
15256b489d1
hex169069681

6057006721 has 16 divisors (see below), whose sum is σ = 6500379600. Its totient is φ = 5623769088.

The previous prime is 6057006689. The next prime is 6057006727. The reversal of 6057006721 is 1276007506.

It can be written as a sum of positive squares in 8 ways, for example, as 301508496 + 5755498225 = 17364^2 + 75865^2 .

It is a cyclic number.

It is not a de Polignac number, because 6057006721 - 25 = 6057006689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6057006727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424735 + ... + 438763.

It is an arithmetic number, because the mean of its divisors is an integer number (406273725).

Almost surely, 26057006721 is an apocalyptic number.

It is an amenable number.

6057006721 is a deficient number, since it is larger than the sum of its proper divisors (443372879).

6057006721 is a wasteful number, since it uses less digits than its factorization.

6057006721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14388.

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 6057006721 is about 77826.7738056769. The cubic root of 6057006721 is about 1822.8573561554.

The spelling of 6057006721 in words is "six billion, fifty-seven million, six thousand, seven hundred twenty-one".

Divisors: 1 17 109 233 1853 3961 14029 25397 238493 431749 1529161 3268757 25995737 55568869 356294513 6057006721