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6846404049 = 32275812
BaseRepresentation
bin1100110000001001…
…11101010111010001
3122200010201100202100
412120010331113101
5103010134412144
63051210111013
7331442321442
oct63004752721
918603640670
106846404049
1129a3686771
1213b0a1b469
13851548374
1448d3b72c9
152a10c9269
hex19813d5d1

6846404049 has 9 divisors (see below), whose sum is σ = 9889608859. Its totient is φ = 4564103880.

The previous prime is 6846404029. The next prime is 6846404051. The reversal of 6846404049 is 9404046486.

The square root of 6846404049 is 82743.

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., 6821603649 + 24800400 = 82593^2 + 4980^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 6846404049 - 25 = 6846404017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6846403995 and 6846404013.

It is not an unprimeable number, because it can be changed into a prime (6846404009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 234439 + ... + 262019.

Almost surely, 26846404049 is an apocalyptic number.

6846404049 is the 82743-rd square number.

6846404049 is the 41372-nd centered octagonal number.

It is an amenable number.

6846404049 is a deficient number, since it is larger than the sum of its proper divisors (3043204810).

6846404049 is an frugal number, since it uses more digits than its factorization.

6846404049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55168 (or 27584 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The cubic root of 6846404049 is about 1898.8362262854.

The spelling of 6846404049 in words is "six billion, eight hundred forty-six million, four hundred four thousand, forty-nine".

Divisors: 1 3 9 27581 82743 248229 760711561 2282134683 6846404049