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19181111040 = 2834571319107
BaseRepresentation
bin10001110111010010…
…001000011100000000
31211111202122101210000
4101313102020130000
5303240331023130
612451153440000
71246216516350
oct216722103400
954452571700
1019181111040
118153267693
123873870000
131a68b40260
14cdd640b60
15773e12260
hex477488700

19181111040 has 1440 divisors, whose sum is σ = 89748933120. Its totient is φ = 3798171648.

The previous prime is 19181111039. The next prime is 19181111041. The reversal of 19181111040 is 4011118191.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19181111039) and next prime (19181111041).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 19181110995 and 19181111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19181111041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 179262667 + ... + 179262773.

It is an arithmetic number, because the mean of its divisors is an integer number (62325648).

Almost surely, 219181111040 is an apocalyptic number.

19181111040 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 19181111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44874466560).

19181111040 is an abundant number, since it is smaller than the sum of its proper divisors (70567822080).

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

19181111040 is a wasteful number, since it uses less digits than its factorization.

19181111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

The spelling of 19181111040 in words is "nineteen billion, one hundred eighty-one million, one hundred eleven thousand, forty".