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12820674573 = 34761370679
BaseRepresentation
bin10111111000010101…
…11111100000001101
31020002111100202020000
423330022333200031
5202224043041243
65520103314513
7632464635660
oct137412774015
936074322200
1012820674573
115489a33623
12259974ba39
1312941a5b95
14898a096d7
1550082d5d3
hex2fc2bf80d

12820674573 has 40 divisors (see below), whose sum is σ = 22246730880. Its totient is φ = 7205980320.

The previous prime is 12820674569. The next prime is 12820674649. The reversal of 12820674573 is 37547602821.

12820674573 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 0 + 6 + 74 + 573 = 666.

It is not a de Polignac number, because 12820674573 - 22 = 12820674569 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12820674553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 150753 + ... + 219926.

It is an arithmetic number, because the mean of its divisors is an integer number (556168272).

Almost surely, 212820674573 is an apocalyptic number.

It is an amenable number.

12820674573 is a deficient number, since it is larger than the sum of its proper divisors (9426056307).

12820674573 is an equidigital number, since it uses as much as digits as its factorization.

12820674573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370759 (or 370750 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 12820674573 in words is "twelve billion, eight hundred twenty million, six hundred seventy-four thousand, five hundred seventy-three".

Divisors: 1 3 7 9 21 27 61 63 81 183 189 427 549 567 1281 1647 3843 4941 11529 34587 370679 1112037 2594753 3336111 7784259 10008333 22611419 23352777 30024999 67834257 70058331 158279933 203502771 210174993 474839799 610508313 1424519397 1831524939 4273558191 12820674573