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19071714816 = 2933711192341
BaseRepresentation
bin10001110000110000…
…110100011000000000
31211020010210111101000
4101300300310120000
5303024324333231
612432245012000
71243420621050
oct216060643000
954203714330
1019071714816
1180a7538690
1238430b4000
131a4c28996b
14ccccc5560
157695036e6
hex470c34600

19071714816 has 1280 divisors, whose sum is σ = 79194931200. Its totient is φ = 4379443200.

The previous prime is 19071714811. The next prime is 19071714829. The reversal of 19071714816 is 61841717091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19071714811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 465163756 + ... + 465163796.

It is an arithmetic number, because the mean of its divisors is an integer number (61871040).

Almost surely, 219071714816 is an apocalyptic number.

19071714816 is a gapful number since it is divisible by the number (16) 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 19071714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39597465600).

19071714816 is an abundant number, since it is smaller than the sum of its proper divisors (60123216384).

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

19071714816 is a wasteful number, since it uses less digits than its factorization.

19071714816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 19071714816 in words is "nineteen billion, seventy-one million, seven hundred fourteen thousand, eight hundred sixteen".