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10928059038 = 232131929131647
BaseRepresentation
bin10100010110101110…
…01111001010011110
31001012121001220210100
422023113033022132
5134340040342123
65004214121530
7534543653301
oct121327171236
931177056710
1010928059038
1146a8671556
12214b9502a6
131052059530
14759504b38
1543e5cd643
hex28b5cf29e

10928059038 has 192 divisors, whose sum is σ = 28021593600. Its totient is φ = 3047466240.

The previous prime is 10928059007. The next prime is 10928059061. The reversal of 10928059038 is 83095082901.

It is a happy number.

10928059038 is a `hidden beast` number, since 1 + 0 + 9 + 28 + 0 + 590 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10928058984 and 10928059002.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 16890031 + ... + 16890677.

It is an arithmetic number, because the mean of its divisors is an integer number (145945800).

Almost surely, 210928059038 is an apocalyptic number.

10928059038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10928059038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14010796800).

10928059038 is an abundant number, since it is smaller than the sum of its proper divisors (17093534562).

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

10928059038 is a wasteful number, since it uses less digits than its factorization.

10928059038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10928059038 in words is "ten billion, nine hundred twenty-eight million, fifty-nine thousand, thirty-eight".