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19932318000000 = 2738567231
BaseRepresentation
bin1001000100000110110101…
…01110111110001110000000
32121120111210111211200000000
410202003122232332032000
510103032341402000000
6110220440330000000
74125030264352500
oct442033256761600
977514714750000
1019932318000000
11639528097074a
12229b024b76000
13b177c0174523
144cca2d43ba00
15248743000000
hex1220dabbe380

19932318000000 has 3024 divisors, whose sum is σ = 89398190063520. Its totient is φ = 4408992000000.

The previous prime is 19932317999987. The next prime is 19932318000017. The reversal of 19932318000000 is 81323991.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 642977999985 + ... + 642978000015.

Almost surely, 219932318000000 is an apocalyptic number.

19932318000000 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 19932318000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44699095031760).

19932318000000 is an abundant number, since it is smaller than the sum of its proper divisors (69465872063520).

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

19932318000000 is an frugal number, since it uses more digits than its factorization.

19932318000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Adding to 19932318000000 its reverse (81323991), we get a palindrome (19932399323991).

The spelling of 19932318000000 in words is "nineteen trillion, nine hundred thirty-two billion, three hundred eighteen million", and thus it is an aban number.