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8428727541 = 3131911374801
BaseRepresentation
bin1111101100110010…
…00010110011110101
3210202102010201112010
413312121002303311
5114230223240131
63512212514433
7415605000453
oct76631026365
923672121463
108428727541
113635884833
12177291ba19
13a44302460
1459d5c99d3
15344e85b46
hex1f6642cf5

8428727541 has 16 divisors (see below), whose sum is σ = 12739778240. Its totient is φ = 4913913600.

The previous prime is 8428727519. The next prime is 8428727597. The reversal of 8428727541 is 1457278248.

It is not a de Polignac number, because 8428727541 - 27 = 8428727413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8428722541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5686660 + ... + 5688141.

It is an arithmetic number, because the mean of its divisors is an integer number (796236140).

Almost surely, 28428727541 is an apocalyptic number.

It is an amenable number.

8428727541 is a deficient number, since it is larger than the sum of its proper divisors (4311050699).

8428727541 is a wasteful number, since it uses less digits than its factorization.

8428727541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11374836.

The product of its digits is 1003520, while the sum is 48.

The square root of 8428727541 is about 91808.1017176589. The cubic root of 8428727541 is about 2035.1074235722.

The spelling of 8428727541 in words is "eight billion, four hundred twenty-eight million, seven hundred twenty-seven thousand, five hundred forty-one".

Divisors: 1 3 13 19 39 57 247 741 11374801 34124403 147872413 216121219 443617239 648363657 2809575847 8428727541