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19424504736 = 25327213113937
BaseRepresentation
bin10010000101110010…
…100110101110100000
31212010201122002011100
4102011302212232200
5304240133122421
612531250314400
71255233365100
oct220562465640
955121562140
1019424504736
1182686989aa
123921288a00
131aa73ab9b0
14d23abb200
1578a48dc26
hex485ca6ba0

19424504736 has 432 divisors, whose sum is σ = 69886691784. Its totient is φ = 5072191488.

The previous prime is 19424504731. The next prime is 19424504741. The reversal of 19424504736 is 63740542491.

19424504736 is a `hidden beast` number, since 1 + 94 + 24 + 504 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (19424504731) and next prime (19424504741).

It can be written as a sum of positive squares in 4 ways, for example, as 2668755600 + 16755749136 = 51660^2 + 129444^2 .

It is a super-2 number, since 2×194245047362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19424504691 and 19424504700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19424504731) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20730060 + ... + 20730996.

Almost surely, 219424504736 is an apocalyptic number.

19424504736 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 19424504736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34943345892).

19424504736 is an abundant number, since it is smaller than the sum of its proper divisors (50462187048).

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

19424504736 is a wasteful number, since it uses less digits than its factorization.

19424504736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 19424504736 in words is "nineteen billion, four hundred twenty-four million, five hundred four thousand, seven hundred thirty-six".