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19843793424 = 243472132432
BaseRepresentation
bin10010011110110010…
…000100001000010000
31220012221121011010000
4102132302010020100
5311120002342144
613041025210000
71301514314100
oct223662041020
956187534100
1019843793424
118463338784
123a19790900
131b43214a00
14d63663200
157b21b2769
hex49ec84210

19843793424 has 675 divisors, whose sum is σ = 74066807133. Its totient is φ = 5111817984.

The previous prime is 19843793357. The next prime is 19843793533. The reversal of 19843793424 is 42439734891.

The square root of 19843793424 is 140868.

It is a perfect power (a square), and thus also a powerful number.

19843793424 is a `hidden beast` number, since 1 + 98 + 43 + 7 + 93 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2935472400 + 16908321024 = 54180^2 + 130032^2 .

It is a super-2 number, since 2×198437934242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 461483547 + ... + 461483589.

Almost surely, 219843793424 is an apocalyptic number.

19843793424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19843793424 is the 140868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19843793424

19843793424 is an abundant number, since it is smaller than the sum of its proper divisors (54223013709).

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

19843793424 is a wasteful number, since it uses less digits than its factorization.

19843793424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 68 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 19843793424 in words is "nineteen billion, eight hundred forty-three million, seven hundred ninety-three thousand, four hundred twenty-four".