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8820477131821 = 374119729699941
BaseRepresentation
bin1000000001011010110101…
…1001111111110000101101
31011020020012012212012220121
42000112231121333300231
52124003314121204241
630432023220244541
71600154434366105
oct200265531776055
934206165765817
108820477131821
1128a081a434173
12ba5573b40751
134bc9c9054784
14226cb040c205
15104692d20ad1
hex805ad67fc2d

8820477131821 has 32 divisors (see below), whose sum is σ = 9331002061920. Its totient is φ = 8326621900800.

The previous prime is 8820477131717. The next prime is 8820477131839. The reversal of 8820477131821 is 1281317740288.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5110827789796 + 3709649342025 = 2260714^2 + 1926045^2 .

It is a cyclic number.

It is not a de Polignac number, because 8820477131821 - 223 = 8820468743213 is a prime.

It is a super-2 number, since 2×88204771318212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8820477141821) 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 31 ways as a sum of consecutive naturals, for example, 887277711 + ... + 887287651.

It is an arithmetic number, because the mean of its divisors is an integer number (291593814435).

Almost surely, 28820477131821 is an apocalyptic number.

It is an amenable number.

8820477131821 is a deficient number, since it is larger than the sum of its proper divisors (510524930099).

8820477131821 is a wasteful number, since it uses less digits than its factorization.

8820477131821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13185.

The product of its (nonzero) digits is 1204224, while the sum is 52.

The spelling of 8820477131821 in words is "eight trillion, eight hundred twenty billion, four hundred seventy-seven million, one hundred thirty-one thousand, eight hundred twenty-one".

Divisors: 1 37 41 197 1517 2969 7289 8077 9941 109853 121729 298849 367817 407581 584893 1958377 4503973 15080497 21641041 23980613 29514829 72459949 80293457 887282681 1092048673 1210107989 2970857909 5814421313 44773995593 215133588581 238391273833 8820477131821