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19224930816 = 2932713192127
BaseRepresentation
bin10001111001111001…
…010010101000000000
31211121211002200012200
4101321321102220000
5303333040241231
612455400553200
71250261133660
oct217171225000
954554080180
1019224930816
118175a77083
123886482800
131a74c43610
14d053aa1a0
15777bbabe6
hex479e52a00

19224930816 has 720 divisors, whose sum is σ = 72639350784. Its totient is φ = 4765630464.

The previous prime is 19224930793. The next prime is 19224930833. The reversal of 19224930816 is 61803942291.

19224930816 is a `hidden beast` number, since 1 + 92 + 249 + 308 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151377345 + ... + 151377471.

Almost surely, 219224930816 is an apocalyptic number.

19224930816 is a gapful number since it is divisible by the number (16) 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 19224930816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36319675392).

19224930816 is an abundant number, since it is smaller than the sum of its proper divisors (53414419968).

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

19224930816 is a wasteful number, since it uses less digits than its factorization.

19224930816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 19224930816 in words is "nineteen billion, two hundred twenty-four million, nine hundred thirty thousand, eight hundred sixteen".