Search a number
-
+
19449787392 = 210347139241
BaseRepresentation
bin10010000111010011…
…000011010000000000
31212012111012120110000
4102013103003100000
5304313121144032
612533552240000
71255661315340
oct220723032000
955174176400
1019449787392
118280997162
123929840000
131aac6c1749
14d271bcd20
1578c7d4e7c
hex4874c3400

19449787392 has 440 divisors, whose sum is σ = 67133084480. Its totient is φ = 5494210560.

The previous prime is 19449787333. The next prime is 19449787417. The reversal of 19449787392 is 29378794491.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (27433728) is a multiple of the sum of its prime divisors (392).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 80704392 + ... + 80704632.

It is an arithmetic number, because the mean of its divisors is an integer number (152575192).

Almost surely, 219449787392 is an apocalyptic number.

19449787392 is a gapful number since it is divisible by the number (12) 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 19449787392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33566542240).

19449787392 is an abundant number, since it is smaller than the sum of its proper divisors (47683297088).

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

19449787392 is a wasteful number, since it uses less digits than its factorization.

19449787392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 392 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 19449787392 in words is "nineteen billion, four hundred forty-nine million, seven hundred eighty-seven thousand, three hundred ninety-two".