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14768789112 = 23327113185933
BaseRepresentation
bin11011100000100100…
…11101011001111000
31102010021002012222100
431300102131121320
5220221302222422
610441254223400
71031661431130
oct156022353170
942107065870
1014768789112
116299661940
122a42054b60
13151498488c
14a01639ac0
155b68927ac
hex37049d678

14768789112 has 192 divisors, whose sum is σ = 51477903360. Its totient is φ = 3712262400.

The previous prime is 14768789111. The next prime is 14768789149. The reversal of 14768789112 is 21198786741.

14768789112 is a `hidden beast` number, since 1 + 476 + 8 + 78 + 91 + 12 = 666.

14768789112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14768789111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128898 + ... + 214830.

It is an arithmetic number, because the mean of its divisors is an integer number (268114080).

Almost surely, 214768789112 is an apocalyptic number.

14768789112 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 14768789112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25738951680).

14768789112 is an abundant number, since it is smaller than the sum of its proper divisors (36709114248).

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

14768789112 is a wasteful number, since it uses less digits than its factorization.

14768789112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85994 (or 85987 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The spelling of 14768789112 in words is "fourteen billion, seven hundred sixty-eight million, seven hundred eighty-nine thousand, one hundred twelve".