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71060098041 = 31010972
BaseRepresentation
bin100001000101110000…
…0110000101111111001
320210102022010000000000
41002023200300233321
52131012341114131
652351120303213
75063635603332
oct1021340605771
9223368100000
1071060098041
1128155633459
1211931a71b09
136915c672ba
143621729289
151cad713ce6
hex108b830bf9

71060098041 has 33 divisors (see below), whose sum is σ = 106686798511. Its totient is φ = 47330214192.

The previous prime is 71060098009. The next prime is 71060098079. The reversal of 71060098041 is 14089006017.

The square root of 71060098041 is 266571.

It is a perfect power (a square), and thus also a powerful number.

71060098041 is a `hidden beast` number, since 7 + 1 + 0 + 600 + 9 + 8 + 0 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20208044025 + 50852054016 = 142155^2 + 225504^2 .

It is not a de Polignac number, because 71060098041 - 25 = 71060098009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71060097987 and 71060098005.

It is not an unprimeable number, because it can be changed into a prime (71060098091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 64776205 + ... + 64777301.

Almost surely, 271060098041 is an apocalyptic number.

71060098041 is the 266571-st square number.

71060098041 is the 133286-th centered octagonal number.

It is an amenable number.

71060098041 is a deficient number, since it is larger than the sum of its proper divisors (35626700470).

71060098041 is an frugal number, since it uses more digits than its factorization.

71060098041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 71060098041 by its sum of digits (36), we get a square (2558163529476 = 15994262).

The spelling of 71060098041 in words is "seventy-one billion, sixty million, ninety-eight thousand, forty-one".

Divisors: 1 3 9 27 81 243 729 1097 2187 3291 6561 9873 19683 29619 59049 88857 266571 799713 1203409 2399139 3610227 7197417 10830681 21592251 32492043 64776753 97476129 292428387 877285161 2631855483 7895566449 23686699347 71060098041