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11943120720384 = 29327794686841
BaseRepresentation
bin1010110111001011100101…
…1101111101001000000000
31120021202021121200022121200
42231302321131331020000
53031134002401023014
641222332141421200
72341601444061660
oct255627135751000
946252247608550
1011943120720384
11389505a3211a7
12140a7a6b6a800
13688301663a09
142d409b7981a0
1515aa0465aa09
hexadcb977d200

11943120720384 has 240 divisors, whose sum is σ = 39891399525120. Its totient is φ = 3369125560320.

The previous prime is 11943120720383. The next prime is 11943120720467. The reversal of 11943120720384 is 48302702134911.

11943120720384 is a `hidden beast` number, since 1 + 1 + 9 + 43 + 1 + 207 + 20 + 384 = 666.

11943120720384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×119431207203843 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11943120720383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204804 + ... + 4891644.

It is an arithmetic number, because the mean of its divisors is an integer number (166214164688).

Almost surely, 211943120720384 is an apocalyptic number.

11943120720384 is a gapful number since it is divisible by the number (14) 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 11943120720384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19945699762560).

11943120720384 is an abundant number, since it is smaller than the sum of its proper divisors (27948278804736).

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

11943120720384 is an equidigital number, since it uses as much as digits as its factorization.

11943120720384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686951 (or 4686932 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11943120720384 in words is "eleven trillion, nine hundred forty-three billion, one hundred twenty million, seven hundred twenty thousand, three hundred eighty-four".