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12023633146 = 2717379411451
BaseRepresentation
bin10110011001010101…
…00001010011111010
31011000221120211221011
423030222201103322
5144111022230041
65305032104134
7603646124020
oct131452412372
934027524834
1012023633146
1151100335a8
1223b683504a
13119801a835
14820c10710
154a588ce81
hex2ccaa14fa

12023633146 has 64 divisors (see below), whose sum is σ = 22453542144. Its totient is φ = 4710528000.

The previous prime is 12023633071. The next prime is 12023633147. The reversal of 12023633146 is 64133632021.

12023633146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12023633147) 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 31 ways as a sum of consecutive naturals, for example, 8285721 + ... + 8287171.

It is an arithmetic number, because the mean of its divisors is an integer number (350836596).

Almost surely, 212023633146 is an apocalyptic number.

12023633146 is a deficient number, since it is larger than the sum of its proper divisors (10429908998).

12023633146 is a wasteful number, since it uses less digits than its factorization.

12023633146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455.

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 12023633146 in words is "twelve billion, twenty-three million, six hundred thirty-three thousand, one hundred forty-six".

Divisors: 1 2 7 14 17 34 37 74 119 238 259 518 629 941 1258 1451 1882 2902 4403 6587 8806 10157 13174 15997 20314 24667 31994 34817 49334 53687 69634 107374 111979 172669 223958 243719 345338 375809 487438 591889 751618 912679 1183778 1365391 1825358 2730782 4143223 6388753 8286446 9557737 12777506 19115474 23211647 46423294 50519467 101038934 162481529 324963058 353636269 707272538 858830939 1717661878 6011816573 12023633146