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8211321853 = 72537343313
BaseRepresentation
bin1111010010110111…
…01101001111111101
3210012021001100222121
413221123231033331
5113304044244403
63434445042541
7410325040600
oct75133551775
923167040877
108211321853
113534093709
121711b56451
13a0b262837
1457c796337
15330d3e3bd
hex1e96ed3fd

8211321853 has 24 divisors (see below), whose sum is σ = 9865716408. Its totient is φ = 6810725376.

The previous prime is 8211321851. The next prime is 8211321893. The reversal of 8211321853 is 3581231128.

8211321853 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5039154169 + 3172167684 = 70987^2 + 56322^2 .

It is not a de Polignac number, because 8211321853 - 21 = 8211321851 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 (8211321851) 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 23 ways as a sum of consecutive naturals, for example, 167925 + ... + 211237.

It is an arithmetic number, because the mean of its divisors is an integer number (411071517).

Almost surely, 28211321853 is an apocalyptic number.

It is an amenable number.

8211321853 is a deficient number, since it is larger than the sum of its proper divisors (1654394555).

8211321853 is a wasteful number, since it uses less digits than its factorization.

8211321853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43453 (or 43446 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 8211321853 is about 90616.3442928482. The cubic root of 8211321853 is about 2017.4573318434.

The spelling of 8211321853 in words is "eight billion, two hundred eleven million, three hundred twenty-one thousand, eight hundred fifty-three".

Divisors: 1 7 49 53 73 371 511 2597 3577 3869 27083 43313 189581 303191 2122337 2295589 3161849 16069123 22132943 112483861 154930601 167577997 1173045979 8211321853