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12028801601 = 59327297433
BaseRepresentation
bin10110011001111100…
…01111001001000001
31011001022022102201102
423030332033021001
5144113333122401
65305334544145
7604041061265
oct131476171101
934038272642
1012028801601
115112a43753
1223b8508055
13119910a1ab
148217980a5
154a605e56b
hex2ccf8f241

12028801601 has 8 divisors (see below), whose sum is σ = 12055123080. Its totient is φ = 12002501632.

The previous prime is 12028801597. The next prime is 12028801661. The reversal of 12028801601 is 10610882021.

12028801601 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 4 ways, for example, as 2546716225 + 9482085376 = 50465^2 + 97376^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12028801601 - 22 = 12028801597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12028801661) 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 7 ways as a sum of consecutive naturals, for example, 1614581 + ... + 1622013.

It is an arithmetic number, because the mean of its divisors is an integer number (1506890385).

Almost surely, 212028801601 is an apocalyptic number.

It is an amenable number.

12028801601 is a deficient number, since it is larger than the sum of its proper divisors (26321479).

12028801601 is an equidigital number, since it uses as much as digits as its factorization.

12028801601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755.

The product of its (nonzero) digits is 1536, while the sum is 29.

The spelling of 12028801601 in words is "twelve billion, twenty-eight million, eight hundred one thousand, six hundred one".

Divisors: 1 593 2729 7433 1618297 4407769 20284657 12028801601