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8419713414 = 2372371973929
BaseRepresentation
bin1111101011101101…
…01010000110000110
3210201210011202110120
413311312222012012
5114220421312124
63511251402410
7415435245300
oct76566520606
923653152416
108419713414
113630788342
12176b8b3406
13a42497558
1459c320970
153442a4d79
hex1f5daa186

8419713414 has 96 divisors (see below), whose sum is σ = 20225414880. Its totient is φ = 2328141312.

The previous prime is 8419713391. The next prime is 8419713487. The reversal of 8419713414 is 4143179148.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2141002 + ... + 2144930.

It is an arithmetic number, because the mean of its divisors is an integer number (210681405).

Almost surely, 28419713414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8419713414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112707440).

8419713414 is an abundant number, since it is smaller than the sum of its proper divisors (11805701466).

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

8419713414 is a wasteful number, since it uses less digits than its factorization.

8419713414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4175 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 8419713414 is about 91758.9963654791. The cubic root of 8419713414 is about 2034.3816809585.

The spelling of 8419713414 in words is "eight billion, four hundred nineteen million, seven hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 197 222 259 294 394 518 591 777 1182 1379 1554 1813 2758 3626 3929 4137 5439 7289 7858 8274 9653 10878 11787 14578 19306 21867 23574 27503 28959 43734 51023 55006 57918 82509 102046 145373 153069 165018 192521 290746 306138 357161 385042 436119 577563 714322 774013 872238 1017611 1071483 1155126 1548026 2035222 2142966 2322039 3052833 4644078 5418091 6105666 7123277 10836182 14246554 16254273 21369831 28638481 32508546 37926637 42739662 57276962 75853274 85915443 113779911 171830886 200469367 227559822 400938734 601408101 1202816202 1403285569 2806571138 4209856707 8419713414