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19073134080 = 2932571113827
BaseRepresentation
bin10001110000110110…
…001110111000000000
31211020020110121020100
4101300312032320000
5303030210242310
612432335242400
71243435651620
oct216066167000
954206417210
1019073134080
1180a8317a30
123843679400
131a4c665970
14ccd174880
157696d3ec0
hex470d8ee00

19073134080 has 960 divisors, whose sum is σ = 88797316608. Its totient is φ = 3653959680.

The previous prime is 19073134079. The next prime is 19073134099. The reversal of 19073134080 is 8043137091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062627 + ... + 23063453.

Almost surely, 219073134080 is an apocalyptic number.

19073134080 is a gapful number since it is divisible by the number (10) 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 19073134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44398658304).

19073134080 is an abundant number, since it is smaller than the sum of its proper divisors (69724182528).

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

19073134080 is a wasteful number, since it uses less digits than its factorization.

19073134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 19073134080 in words is "nineteen billion, seventy-three million, one hundred thirty-four thousand, eighty".