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19380318048 = 25327132692749
BaseRepresentation
bin10010000011001010…
…000010111101100000
31212000122111011102100
4102003022002331200
5304142330134143
612523031250400
71254155661660
oct220312027540
955018434370
1019380318048
118245758883
12390a519a00
131a9b1aa620
14d1bc981a0
157866616d3
hex483282f60

19380318048 has 288 divisors, whose sum is σ = 68108040000. Its totient is φ = 5090439168.

The previous prime is 19380318043. The next prime is 19380318049. The reversal of 19380318048 is 84081308391.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 19380317994 and 19380318012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19380318043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7048578 + ... + 7051326.

It is an arithmetic number, because the mean of its divisors is an integer number (236486250).

Almost surely, 219380318048 is an apocalyptic number.

19380318048 is a gapful number since it is divisible by the number (18) 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 19380318048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34054020000).

19380318048 is an abundant number, since it is smaller than the sum of its proper divisors (48727721952).

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

19380318048 is a wasteful number, since it uses less digits than its factorization.

19380318048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 19380318048 in words is "nineteen billion, three hundred eighty million, three hundred eighteen thousand, forty-eight".