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12308859945 = 3251739740529
BaseRepresentation
bin10110111011010101…
…00100110000101001
31011202211021212112200
423131222210300221
5200202032004240
65353221330413
7614011404024
oct133552446051
934684255480
1012308859945
115247037728
122476266a09
1312121452a5
1484aa5a1bb
154c092e930
hex2ddaa4c29

12308859945 has 48 divisors (see below), whose sum is σ = 22647839760. Its totient is φ = 6162849792.

The previous prime is 12308859943. The next prime is 12308859949. The reversal of 12308859945 is 54995880321.

12308859945 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 8 + 8 + 599 + 45 = 666.

12308859945 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 8 ways, for example, as 2250174096 + 10058685849 = 47436^2 + 100293^2 .

It is not a de Polignac number, because 12308859945 - 21 = 12308859943 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12308859891 and 12308859900.

It is not an unprimeable number, because it can be changed into a prime (12308859943) 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 47 ways as a sum of consecutive naturals, for example, 283441 + ... + 323969.

It is an arithmetic number, because the mean of its divisors is an integer number (471829995).

Almost surely, 212308859945 is an apocalyptic number.

12308859945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12308859945 is a deficient number, since it is larger than the sum of its proper divisors (10338979815).

12308859945 is a wasteful number, since it uses less digits than its factorization.

12308859945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40954 (or 40951 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 12308859945 in words is "twelve billion, three hundred eight million, eight hundred fifty-nine thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 397 765 1191 1985 3573 5955 6749 17865 20247 33745 40529 60741 101235 121587 202645 303705 364761 607935 688993 1823805 2066979 3444965 6200937 10334895 16090013 31004685 48270039 80450065 144810117 241350195 273530221 724050585 820590663 1367651105 2461771989 4102953315 12308859945