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81307671025 = 527281472
BaseRepresentation
bin100101110111001010…
…0001001100111110001
321202212110201122102011
41023232110021213301
52313004230433100
6101204025322521
75605610541400
oct1135624114761
9252773648364
1081307671025
1131534073739
1213911936441
13788a027559
143d146d5637
1521ad1c6bba
hex12ee5099f1

81307671025 has 27 divisors (see below), whose sum is σ = 117296564619. Its totient is φ = 55746988080.

The previous prime is 81307671017. The next prime is 81307671073. The reversal of 81307671025 is 52017670318.

The square root of 81307671025 is 285145.

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., 29270761569 + 52036909456 = 171087^2 + 228116^2 .

It is not a de Polignac number, because 81307671025 - 23 = 81307671017 is a prime.

It is a super-2 number, since 2×813076710252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 9976002 + ... + 9984148.

Almost surely, 281307671025 is an apocalyptic number.

81307671025 is the 285145-th square number.

81307671025 is the 142573-rd centered octagonal number.

It is an amenable number.

81307671025 is a deficient number, since it is larger than the sum of its proper divisors (35988893594).

81307671025 is an frugal number, since it uses more digits than its factorization.

81307671025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16318 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 81307671025 in words is "eighty-one billion, three hundred seven million, six hundred seventy-one thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 8147 40735 57029 203675 285145 399203 1425725 1996015 9980075 66373609 331868045 464615263 1659340225 2323076315 3252306841 11615381575 16261534205 81307671025