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10285327360 = 210572113727
BaseRepresentation
bin10011001010000110…
…11010010000000000
3222112210122202200101
421211003122100000
5132031020433420
64420334132144
7512610561100
oct114503322000
928483582611
1010285327360
1143a8887750
121bb0651054
13c7bb4b929
146d7dd7200
15402e6e60a
hex2650da400

10285327360 has 264 divisors, whose sum is σ = 31318510464. Its totient is φ = 3204956160.

The previous prime is 10285327237. The next prime is 10285327373. The reversal of 10285327360 is 6372358201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2757817 + ... + 2761543.

Almost surely, 210285327360 is an apocalyptic number.

10285327360 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 10285327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15659255232).

10285327360 is an abundant number, since it is smaller than the sum of its proper divisors (21033183104).

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

10285327360 is a wasteful number, since it uses less digits than its factorization.

10285327360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 10285327360 in words is "ten billion, two hundred eighty-five million, three hundred twenty-seven thousand, three hundred sixty".