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12206741441 = 414728122543
BaseRepresentation
bin10110101111001010…
…00001011111000001
31011111201010201021212
423113211001133001
5144444411211231
65335132455505
7611331406316
oct132745013701
934451121255
1012206741441
1151a4429574
12244801a595
1311c6c3c43b
1483b276d0d
154b69ac42b
hex2d79417c1

12206741441 has 16 divisors (see below), whose sum is σ = 12816534528. Its totient is φ = 11613638400.

The previous prime is 12206741413. The next prime is 12206741453. The reversal of 12206741441 is 14414760221.

12206741441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12206741441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12206741398 and 12206741407.

It is not an unprimeable number, because it can be changed into a prime (12206741641) 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 15 ways as a sum of consecutive naturals, for example, 530216 + ... + 552758.

It is an arithmetic number, because the mean of its divisors is an integer number (801033408).

Almost surely, 212206741441 is an apocalyptic number.

It is an amenable number.

12206741441 is a deficient number, since it is larger than the sum of its proper divisors (609793087).

12206741441 is a wasteful number, since it uses less digits than its factorization.

12206741441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22912.

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 12206741441 in words is "twelve billion, two hundred six million, seven hundred forty-one thousand, four hundred forty-one".

Divisors: 1 41 47 281 1927 11521 13207 22543 541487 924263 1059521 6334583 43440361 259717903 297725401 12206741441