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803810734848 = 2832111312391013
BaseRepresentation
bin10111011001001101101…
…10100111001100000000
32211211202221201010110100
423230212312213030000
5101132201022003343
61413133205402400
7112034115341112
oct13544666471400
92754687633410
10803810734848
1128a992228240
1210b94a709400
135aa50601c74
142ac944cd3b2
1515d97b2d9d3
hexbb26da7300

803810734848 has 432 divisors, whose sum is σ = 2560758520320. Its totient is φ = 240470630400.

The previous prime is 803810734847. The next prime is 803810734873. The reversal of 803810734848 is 848437018308.

It is a happy number.

803810734848 is a `hidden beast` number, since 80 + 3 + 8 + 10 + 73 + 484 + 8 = 666.

It is a super-2 number, since 2×8038107348482 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 803810734794 and 803810734803.

It is not an unprimeable number, because it can be changed into a prime (803810734847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793494790 + ... + 793495802.

It is an arithmetic number, because the mean of its divisors is an integer number (5927681760).

Almost surely, 2803810734848 is an apocalyptic number.

803810734848 is a gapful number since it is divisible by the number (88) 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 803810734848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280379260160).

803810734848 is an abundant number, since it is smaller than the sum of its proper divisors (1756947785472).

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

803810734848 is a wasteful number, since it uses less digits than its factorization.

803810734848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 803810734848 in words is "eight hundred three billion, eight hundred ten million, seven hundred thirty-four thousand, eight hundred forty-eight".