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19506347872 = 2511198932771
BaseRepresentation
bin10010001010101010…
…110011111101100000
31212100102122010211121
4102022222303331200
5304422111112442
612543332422024
71260246135604
oct221252637540
955312563747
1019506347872
1182aa908960
123944777914
131abb335c9b
14d30903504
15792758967
hex48aab3f60

19506347872 has 96 divisors (see below), whose sum is σ = 44596137600. Its totient is φ = 8305228800.

The previous prime is 19506347869. The next prime is 19506347897. The reversal of 19506347872 is 27874360591.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578847 + ... + 611617.

It is an arithmetic number, because the mean of its divisors is an integer number (464543100).

It is a 1-persistent number, because it is pandigital, but 2⋅19506347872 = 39012695744 is not.

Almost surely, 219506347872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19506347872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22298068800).

19506347872 is an abundant number, since it is smaller than the sum of its proper divisors (25089789728).

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

19506347872 is a wasteful number, since it uses less digits than its factorization.

19506347872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32900 (or 32892 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 19506347872 in words is "nineteen billion, five hundred six million, three hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 89 152 176 178 209 304 352 356 418 608 712 836 979 1424 1672 1691 1958 2848 3344 3382 3916 6688 6764 7832 13528 15664 18601 27056 31328 32771 37202 54112 65542 74404 131084 148808 262168 297616 360481 524336 595232 622649 720962 1048672 1245298 1441924 2490596 2883848 2916619 4981192 5767696 5833238 6849139 9962384 11535392 11666476 13698278 19924768 23332952 27396556 32082809 46665904 54793112 55415761 64165618 93331808 109586224 110831522 128331236 219172448 221663044 256662472 443326088 513324944 609573371 886652176 1026649888 1219146742 1773304352 2438293484 4876586968 9753173936 19506347872