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19218831424 = 26132312432
BaseRepresentation
bin10001111001100010…
…000001100001000000
31211121101121210102021
4101321202001201000
5303330010101144
612455022131224
71250155241332
oct217142014100
954541553367
1019218831424
118172590561
123884420b14
131a738b9300
14d0465d452
157773b3884
hex479881840

19218831424 has 189 divisors, whose sum is σ = 43687246509. Its totient is φ = 8384463360.

The previous prime is 19218831421. The next prime is 19218831427. The reversal of 19218831424 is 42413881291.

The square root of 19218831424 is 138632.

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

It is an interprime number because it is at equal distance from previous prime (19218831421) and next prime (19218831427).

It can be written as a sum of positive squares in only one way, i.e., 2843022400 + 16375809024 = 53320^2 + 127968^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19218831421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 446949547 + ... + 446949589.

Almost surely, 219218831424 is an apocalyptic number.

19218831424 is the 138632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19218831424

19218831424 is an abundant number, since it is smaller than the sum of its proper divisors (24468415085).

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

19218831424 is an equidigital number, since it uses as much as digits as its factorization.

19218831424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 89 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The spelling of 19218831424 in words is "nineteen billion, two hundred eighteen million, eight hundred thirty-one thousand, four hundred twenty-four".