Search a number
-
+
19408330188 = 223313431512129
BaseRepresentation
bin10010000100110100…
…111001110111001100
31212002121012022212000
4102010310321313030
5304222013031223
612525511512300
71254646041012
oct220464716714
955077168760
1019408330188
11825a550805
123917988690
131aa3c37860
14d218aa8b2
15788d46543
hex484d39dcc

19408330188 has 192 divisors, whose sum is σ = 55842124800. Its totient is φ = 5791564800.

The previous prime is 19408330133. The next prime is 19408330199. The reversal of 19408330188 is 88103380491.

19408330188 is a `hidden beast` number, since 194 + 0 + 83 + 301 + 88 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9115108 + ... + 9117236.

It is an arithmetic number, because the mean of its divisors is an integer number (290844400).

Almost surely, 219408330188 is an apocalyptic number.

19408330188 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 19408330188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27921062400).

19408330188 is an abundant number, since it is smaller than the sum of its proper divisors (36433794612).

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

19408330188 is a wasteful number, since it uses less digits than its factorization.

19408330188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2341 counting only the distinct ones).

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

The spelling of 19408330188 in words is "nineteen billion, four hundred eight million, three hundred thirty thousand, one hundred eighty-eight".