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12307666581 = 34723100949
BaseRepresentation
bin10110111011001100…
…00001011010010101
31011202202001020120000
423131212001122111
5200201230312311
65353140001513
7613665303600
oct133546013225
934682036500
1012307666581
1152463a2081
122475990299
131211b18062
1484a829337
154c0796056
hex2dd981695

12307666581 has 30 divisors (see below), whose sum is σ = 21387252150. Its totient is φ = 7032950064.

The previous prime is 12307666559. The next prime is 12307666619. The reversal of 12307666581 is 18566670321.

12307666581 is digitally balanced in base 2, 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 only one way, i.e., 10390540356 + 1917126225 = 101934^2 + 43785^2 .

It is not a de Polignac number, because 12307666581 - 26 = 12307666517 is a prime.

It is a super-2 number, since 2×123076665812 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12307666981) 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 29 ways as a sum of consecutive naturals, for example, 1546506 + ... + 1554443.

It is an arithmetic number, because the mean of its divisors is an integer number (712908405).

Almost surely, 212307666581 is an apocalyptic number.

It is an amenable number.

12307666581 is a deficient number, since it is larger than the sum of its proper divisors (9079585569).

12307666581 is an equidigital number, since it uses as much as digits as its factorization.

12307666581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100975 (or 3100959 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12307666581 in words is "twelve billion, three hundred seven million, six hundred sixty-six thousand, five hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 3100949 9302847 21706643 27908541 65119929 83725623 151946501 195359787 251176869 455839503 586079361 1367518509 1758238083 4102555527 12307666581