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14189491992 = 23313192532377
BaseRepresentation
bin11010011011100001…
…00111011100011000
31100121220000212201110
431031300213130120
5213030002220432
610304002020320
71011425456214
oct151560473430
940556025643
1014189491992
116021664395
1229000476a0
131451957310
14988721944
15580ab3dcc
hex34dc27718

14189491992 has 192 divisors, whose sum is σ = 41096976480. Its totient is φ = 4056459264.

The previous prime is 14189491969. The next prime is 14189491993. The reversal of 14189491992 is 29919498141.

14189491992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14189491993) 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, 5968308 + ... + 5970684.

Almost surely, 214189491992 is an apocalyptic number.

14189491992 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 14189491992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20548488240).

14189491992 is an abundant number, since it is smaller than the sum of its proper divisors (26907484488).

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

14189491992 is a wasteful number, since it uses less digits than its factorization.

14189491992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2467 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 57.

The spelling of 14189491992 in words is "fourteen billion, one hundred eighty-nine million, four hundred ninety-one thousand, nine hundred ninety-two".