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19381094656 = 28721121132
BaseRepresentation
bin10010000011001101…
…000000100100000000
31212000200221121201121
4102003031000210000
5304143030012111
612523100042024
71254165405100
oct220315004400
955020847647
1019381094656
118246139300
12390a833314
131a9b3bcc61
14d1c01b200
15786766871
hex483340900

19381094656 has 243 divisors, whose sum is σ = 49907337753. Its totient is φ = 7484252160.

The previous prime is 19381094617. The next prime is 19381094659. The reversal of 19381094656 is 65649018391.

The square root of 19381094656 is 139216.

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

It can be written as a sum of positive squares in only one way, i.e., 341510400 + 19039584256 = 18480^2 + 137984^2 .

It is not an unprimeable number, because it can be changed into a prime (19381094659) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 171514056 + ... + 171514168.

Almost surely, 219381094656 is an apocalyptic number.

19381094656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19381094656 is the 139216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19381094656

19381094656 is an abundant number, since it is smaller than the sum of its proper divisors (30526243097).

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

19381094656 is an equidigital number, since it uses as much as digits as its factorization.

19381094656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 19381094656 in words is "nineteen billion, three hundred eighty-one million, ninety-four thousand, six hundred fifty-six".