Search a number
-
+
19046035008 = 263372113132
BaseRepresentation
bin10001101111001110…
…110110111001000000
31211011100110211022000
4101233032312321000
5303001241110013
612425530344000
71242656424600
oct215716667100
954140424260
1019046035008
118093a99000
12383658b000
131a46b68200
14cc971cc00
1576712e973
hex46f3b6e40

19046035008 has 1008 divisors, whose sum is σ = 77576598720. Its totient is φ = 4566481920.

The previous prime is 19046034979. The next prime is 19046035013. The reversal of 19046035008 is 80053064091.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

19046035008 is a `hidden beast` number, since 1 + 90 + 4 + 60 + 3 + 500 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1465079610 + ... + 1465079622.

Almost surely, 219046035008 is an apocalyptic number.

19046035008 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 19046035008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38788299360).

19046035008 is an abundant number, since it is smaller than the sum of its proper divisors (58530563712).

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

19046035008 is a wasteful number, since it uses less digits than its factorization.

19046035008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 19046035008 its reverse (80053064091), we get a palindrome (99099099099).

The spelling of 19046035008 in words is "nineteen billion, forty-six million, thirty-five thousand, eight".