Search a number
-
+
19063744128 = 27321113313733
BaseRepresentation
bin10001110000010010…
…011010011010000000
31211012120210112122100
4101300102122122000
5303020304303003
612431402110400
71243263102642
oct216022323200
954176715570
1019063744128
1180a2a94140
1238404ab400
131a4a728990
14ccbc0c892
1576897bba3
hex47049a680

19063744128 has 384 divisors, whose sum is σ = 66545256960. Its totient is φ = 5159116800.

The previous prime is 19063744103. The next prime is 19063744151. The reversal of 19063744128 is 82144736091.

19063744128 is a `hidden beast` number, since 1 + 9 + 0 + 637 + 4 + 4 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5104950 + ... + 5108682.

It is an arithmetic number, because the mean of its divisors is an integer number (173294940).

Almost surely, 219063744128 is an apocalyptic number.

19063744128 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 19063744128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33272628480).

19063744128 is an abundant number, since it is smaller than the sum of its proper divisors (47481512832).

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

19063744128 is a wasteful number, since it uses less digits than its factorization.

19063744128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 19063744128 in words is "nineteen billion, sixty-three million, seven hundred forty-four thousand, one hundred twenty-eight".