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10296285440 = 285719311951
BaseRepresentation
bin10011001011011010…
…01101100100000000
3222120120021111100012
421211231031210000
5132041322113230
64421405044052
7513102660620
oct114555154400
928516244305
1010296285440
114403a91711
121bb4256628
13c811b75bc
146d964a880
15403dd6395
hex265b4d900

10296285440 has 288 divisors, whose sum is σ = 30642339840. Its totient is φ = 3234816000.

The previous prime is 10296285437. The next prime is 10296285443. The reversal of 10296285440 is 4458269201.

It is an interprime number because it is at equal distance from previous prime (10296285437) and next prime (10296285443).

It is not an unprimeable number, because it can be changed into a prime (10296285443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5276465 + ... + 5278415.

Almost surely, 210296285440 is an apocalyptic number.

10296285440 is a gapful number since it is divisible by the number (10) 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 10296285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321169920).

10296285440 is an abundant number, since it is smaller than the sum of its proper divisors (20346054400).

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

10296285440 is a wasteful number, since it uses less digits than its factorization.

10296285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 10296285440 in words is "ten billion, two hundred ninety-six million, two hundred eighty-five thousand, four hundred forty".