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10489235328 = 27321113411553
BaseRepresentation
bin10011100010011010…
…10000011110000000
31000002000100100211100
421301031100132000
5132440221012303
64452500414400
7520635013005
oct116115203600
930060310740
1010489235328
1144a2999830
1220489a7400
13cb2173930
147171158ac
15415ceb8a3
hex271350780

10489235328 has 384 divisors, whose sum is σ = 36349054560. Its totient is φ = 2860646400.

The previous prime is 10489235327. The next prime is 10489235371. The reversal of 10489235328 is 82353298401.

10489235328 is a `hidden beast` number, since 10 + 4 + 89 + 23 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×104892353282 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10489235327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6753400 + ... + 6754952.

Almost surely, 210489235328 is an apocalyptic number.

10489235328 is a gapful number since it is divisible by the number (18) 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 10489235328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18174527280).

10489235328 is an abundant number, since it is smaller than the sum of its proper divisors (25859819232).

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

10489235328 is a wasteful number, since it uses less digits than its factorization.

10489235328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10489235328 in words is "ten billion, four hundred eighty-nine million, two hundred thirty-five thousand, three hundred twenty-eight".