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7839266417161 = 107213721912
BaseRepresentation
bin111001000010011100010…
…1100001010101000001001
31000202102111221210101101121
41302010320230022220021
52011414304200322121
624401150445315241
71436240221051444
oct162047054125011
930672457711347
107839266417161
112552683583473
12a67376565b21
1344b31668a46a
141d15cb56c65b
15d8db5dc0141
hex72138b0aa09

7839266417161 has 27 divisors (see below), whose sum is σ = 8013351181927. Its totient is φ = 7668953185760.

The previous prime is 7839266417159. The next prime is 7839266417197. The reversal of 7839266417161 is 1617146629387.

It is a happy number.

The square root of 7839266417161 is 2799869.

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., 4604822433225 + 3234443983936 = 2145885^2 + 1798456^2 .

It is not a de Polignac number, because 7839266417161 - 21 = 7839266417159 is a prime.

It is a super-2 number, since 2×78392664171612 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7839266417161.

It is not an unprimeable number, because it can be changed into a prime (7839266417141) 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 26 ways as a sum of consecutive naturals, for example, 41043279576 + ... + 41043279766.

Almost surely, 27839266417161 is an apocalyptic number.

7839266417161 is the 2799869-th square number.

7839266417161 is the 1399935-th centered octagonal number.

It is an amenable number.

7839266417161 is a deficient number, since it is larger than the sum of its proper divisors (174084764766).

7839266417161 is an frugal number, since it uses more digits than its factorization.

7839266417161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 435 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 61.

The spelling of 7839266417161 in words is "seven trillion, eight hundred thirty-nine billion, two hundred sixty-six million, four hundred seventeen thousand, one hundred sixty-one".

Divisors: 1 107 137 191 11449 14659 18769 20437 26167 36481 1568513 2008283 2186759 2799869 3584879 3903467 4997897 214886281 299585983 383582053 417670969 534774979 684711889 41043279671 57220922753 73264172123 7839266417161