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18012020000000 = 2857132732
BaseRepresentation
bin1000001100001110000000…
…00011011100010100000000
32100202221011122100220212212
410012013000003130110000
54330102104110000000
6102150335135241252
73536216434566365
oct406070003342400
970687148326785
1018012020000000
115814944799154
12202aa25079228
13a086ac097600
14463b01d1446c
15213802279c35
hex1061c00dc500

18012020000000 has 648 divisors, whose sum is σ = 49340766167784. Its totient is φ = 6559488000000.

The previous prime is 18012019999991. The next prime is 18012020000033. The reversal of 18012020000000 is 2021081.

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 36 ways, for example, as 3085109576704 + 14926910423296 = 1756448^2 + 3863536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18012020000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 246739999964 + ... + 246740000036.

Almost surely, 218012020000000 is an apocalyptic number.

18012020000000 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 18012020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24670383083892).

18012020000000 is an abundant number, since it is smaller than the sum of its proper divisors (31328746167784).

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

18012020000000 is an frugal number, since it uses more digits than its factorization.

18012020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 93 counting only the distinct ones).

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

Adding to 18012020000000 its reverse (2021081), we get a palindrome (18012022021081).

The spelling of 18012020000000 in words is "eighteen trillion, twelve billion, twenty million", and thus it is an aban number and an uban number.