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19163242224 = 24337219293153
BaseRepresentation
bin10001110110001101…
…111101111011110000
31211110112000120101000
4101312031331323300
5303221242222344
612445314442000
71245611604600
oct216615757360
954415016330
1019163242224
118144172575
123869893300
131a65224ba9
14cdb10cc00
15772582a69
hex47637def0

19163242224 has 960 divisors, whose sum is σ = 73281024000. Its totient is φ = 4755179520.

The previous prime is 19163242213. The next prime is 19163242229. The reversal of 19163242224 is 42224236191.

It is a happy number.

19163242224 is a `hidden beast` number, since 19 + 1 + 632 + 4 + 2 + 2 + 2 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (41472) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19163242229) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 361570582 + ... + 361570634.

It is an arithmetic number, because the mean of its divisors is an integer number (76334400).

Almost surely, 219163242224 is an apocalyptic number.

19163242224 is a gapful number since it is divisible by the number (14) 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 19163242224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36640512000).

19163242224 is an abundant number, since it is smaller than the sum of its proper divisors (54117781776).

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

19163242224 is a wasteful number, since it uses less digits than its factorization.

19163242224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 19163242224 in words is "nineteen billion, one hundred sixty-three million, two hundred forty-two thousand, two hundred twenty-four".