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18012002000000 = 275630012
BaseRepresentation
bin1000001100001101111101…
…11110110001110010000000
32100202221010101111102112012
410012012332332301302000
54330102040003000000
6102150333253352052
73536216125600301
oct406067676616200
970687111442465
1018012002000000
115814935614518
12202aa1b038628
13a086a8434618
14463add78a7a8
152138008c1735
hex1061befb1c80

18012002000000 has 168 divisors, whose sum is σ = 44868483586215. Its totient is φ = 7202400000000.

The previous prime is 18012001999993. The next prime is 18012002000051. The reversal of 18012002000000 is 20021081.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 15310817713216 + 2701184286784 = 3912904^2 + 1643528^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3001000.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6001998500 + ... + 6002001500.

Almost surely, 218012002000000 is an apocalyptic number.

18012002000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18012002000000

18012002000000 is an abundant number, since it is smaller than the sum of its proper divisors (26856481586215).

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

18012002000000 is an frugal number, since it uses more digits than its factorization.

18012002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6046 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Multiplying 18012002000000 by its product of nonzero digits (32), we get a square (576384064000000 = 240080002).

18012002000000 divided by its product of nonzero digits (32) gives a square (562875062500 = 7502502).

Adding to 18012002000000 its reverse (20021081), we get a palindrome (18012022021081).

The spelling of 18012002000000 in words is "eighteen trillion, twelve billion, two million", and thus it is an aban number and an uban number.