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12139852761 = 3219219332
BaseRepresentation
bin10110100111001011…
…10111001111011001
31011100001021102021100
423103211313033121
5144330300242021
65324343102013
7606560021511
oct132345671731
934301242240
1012139852761
11516a6a3073
122429741909
1311b611cb3a
14832424841
154b0b98626
hex2d39773d9

12139852761 has 27 divisors (see below), whose sum is σ = 18516409119. Its totient is φ = 7663308912.

The previous prime is 12139852727. The next prime is 12139852783. The reversal of 12139852761 is 16725893121.

The square root of 12139852761 is 110181.

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., 8265537225 + 3874315536 = 90915^2 + 62244^2 .

It is not a de Polignac number, because 12139852761 - 217 = 12139721689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12139852261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6279351 + ... + 6281283.

Almost surely, 212139852761 is an apocalyptic number.

12139852761 is the 110181-st square number.

12139852761 is the 55091-st centered octagonal number.

It is an amenable number.

12139852761 is a deficient number, since it is larger than the sum of its proper divisors (6376556358).

12139852761 is an frugal number, since it uses more digits than its factorization.

12139852761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3910 (or 1955 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

It can be divided in two parts, 12139 and 852761, that added together give a square (864900 = 9302).

The spelling of 12139852761 in words is "twelve billion, one hundred thirty-nine million, eight hundred fifty-two thousand, seven hundred sixty-one".

Divisors: 1 3 9 19 57 171 361 1083 1933 3249 5799 17397 36727 110181 330543 697813 2093439 3736489 6280317 11209467 33628401 70993291 212979873 638939619 1348872529 4046617587 12139852761