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5205461441 = 311015916529
BaseRepresentation
bin1001101100100010…
…10000100111000001
3111102202222211200012
410312101100213001
541130044231231
62220311034305
7242665456265
oct46621204701
914382884605
105205461441
112231390254
12101336b995
1364c5a89cb
143754a60a5
15206edde2b
hex1364509c1

5205461441 has 8 divisors (see below), whose sum is σ = 5374233600. Its totient is φ = 5036742720.

The previous prime is 5205461431. The next prime is 5205461473. The reversal of 5205461441 is 1441645025.

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 5205461441 - 226 = 5138352577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5205461398 and 5205461407.

It is not an unprimeable number, because it can be changed into a prime (5205461411) 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 7 ways as a sum of consecutive naturals, for example, 306665 + ... + 323193.

It is an arithmetic number, because the mean of its divisors is an integer number (671779200).

Almost surely, 25205461441 is an apocalyptic number.

It is an amenable number.

5205461441 is a deficient number, since it is larger than the sum of its proper divisors (168772159).

5205461441 is a wasteful number, since it uses less digits than its factorization.

5205461441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26719.

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 5205461441 is about 72148.8838513805. The cubic root of 5205461441 is about 1733.0845258709.

The spelling of 5205461441 in words is "five billion, two hundred five million, four hundred sixty-one thousand, four hundred forty-one".

Divisors: 1 31 10159 16529 314929 512399 167918111 5205461441