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12026998032 = 2437163219599
BaseRepresentation
bin10110011001101110…
…10110110100010000
31011001011220210200120
423030313112310100
5144112402414112
65305232150240
7604016540130
oct131467266420
934034823616
1012026998032
115111a216a5
1223b7998380
1311989282aa
14821448ac0
154a5d04e8c
hex2ccdd6d10

12026998032 has 80 divisors (see below), whose sum is σ = 35726284800. Its totient is φ = 3415188096.

The previous prime is 12026998021. The next prime is 12026998033. The reversal of 12026998032 is 23089962021.

12026998032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12026998033) 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, 55032 + ... + 164567.

It is an arithmetic number, because the mean of its divisors is an integer number (446578560).

Almost surely, 212026998032 is an apocalyptic number.

12026998032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12026998032 is an abundant number, since it is smaller than the sum of its proper divisors (23699286768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12026998032 is a wasteful number, since it uses less digits than its factorization.

12026998032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219780 (or 219774 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 12026998032 in words is "twelve billion, twenty-six million, nine hundred ninety-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 168 326 336 489 652 978 1141 1304 1956 2282 2608 3423 3912 4564 6846 7824 9128 13692 18256 27384 54768 219599 439198 658797 878396 1317594 1537193 1756792 2635188 3074386 3513584 4611579 5270376 6148772 9223158 10540752 12297544 18446316 24595088 35794637 36892632 71589274 73785264 107383911 143178548 214767822 250562459 286357096 429535644 501124918 572714192 751687377 859071288 1002249836 1503374754 1718142576 2004499672 3006749508 4008999344 6013499016 12026998032