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18439935731712 = 211351121971227
BaseRepresentation
bin1000011000101011000011…
…10100011010100000000000
32102021211200211022101200000
410030111201310122200000
54404104442021403322
6103115104534400000
73612145540363335
oct414254164324000
972254624271600
1018439935731712
11596a372aa0a00
122099949200000
13a39b5602a5a1
1447a6d77ac98c
1521e9e97e13ac
hex10c561d1a800

18439935731712 has 1728 divisors, whose sum is σ = 65088501004800. Its totient is φ = 5196209356800.

The previous prime is 18439935731683. The next prime is 18439935731743. The reversal of 18439935731712 is 21713753993481.

18439935731712 is a `hidden beast` number, since 1 + 8 + 4 + 39 + 9 + 3 + 573 + 17 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 18439935731712.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81233196943 + ... + 81233197169.

It is an arithmetic number, because the mean of its divisors is an integer number (37666956600).

Almost surely, 218439935731712 is an apocalyptic number.

18439935731712 is a gapful number since it is divisible by the number (12) 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 18439935731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32544250502400).

18439935731712 is an abundant number, since it is smaller than the sum of its proper divisors (46648565273088).

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

18439935731712 is a wasteful number, since it uses less digits than its factorization.

18439935731712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 333 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 18439935731712 in words is "eighteen trillion, four hundred thirty-nine billion, nine hundred thirty-five million, seven hundred thirty-one thousand, seven hundred twelve".