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18561312000000 = 211355671131
BaseRepresentation
bin1000011100001101001000…
…11010001000100000000000
32102201102222202011200100000
410032012210122020200000
54413102031333000000
6103250540553200000
73624003420550620
oct416064432104000
972642882150300
1018561312000000
115a06898805830
1220b9381a00000
13a4842a3a4593
1448252d80a880
15222c50500000
hex10e1a4688800

18561312000000 has 4032 divisors, whose sum is σ = 89433655234560. Its totient is φ = 3732480000000.

The previous prime is 18561311999981. The next prime is 18561312000029. The reversal of 18561312000000 is 21316581.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×185613120000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 335 ways as a sum of consecutive naturals, for example, 598751999985 + ... + 598752000015.

It is an arithmetic number, because the mean of its divisors is an integer number (22180966080).

Almost surely, 218561312000000 is an apocalyptic number.

18561312000000 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 18561312000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44716827617280).

18561312000000 is an abundant number, since it is smaller than the sum of its proper divisors (70872343234560).

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

18561312000000 is an frugal number, since it uses more digits than its factorization.

18561312000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 18561312000000 its reverse (21316581), we get a palindrome (18561333316581).

The spelling of 18561312000000 in words is "eighteen trillion, five hundred sixty-one billion, three hundred twelve million", and thus it is an aban number.