| Base | Representation |
|---|---|
| bin | 10011100111000010… |
| … | …10101011011110000 |
| 3 | 1000011201101111122000 |
| 4 | 21303201111123300 |
| 5 | 133030140143401 |
| 6 | 4500404414000 |
| 7 | 521615655000 |
| oct | 116341253360 |
| 9 | 30151344560 |
| 10 | 10528052976 |
| 11 | 45128a2031 |
| 12 | 20599a7300 |
| 13 | cba21525c |
| 14 | 71c33c000 |
| 15 | 419418186 |
| hex | 2738556f0 |
10528052976 has 320 divisors, whose sum is σ = 35509632000. Its totient is φ = 2985196032.
The previous prime is 10528052971. The next prime is 10528052981. The reversal of 10528052976 is 67925082501.
10528052976 is a `hidden beast` number, since 1 + 0 + 52 + 8 + 0 + 529 + 76 = 666.
10528052976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10528052971) and next prime (10528052981).
It is a super-2 number, since 2×105280529762 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10528052971) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33635796 + ... + 33636108.
It is an arithmetic number, because the mean of its divisors is an integer number (110967600).
Almost surely, 210528052976 is an apocalyptic number.
10528052976 is a gapful number since it is divisible by the number (16) 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 10528052976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17754816000).
10528052976 is an abundant number, since it is smaller than the sum of its proper divisors (24981579024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10528052976 is a wasteful number, since it uses less digits than its factorization.
10528052976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 578 (or 552 counting only the distinct ones).
The product of its (nonzero) digits is 302400, while the sum is 45.
The spelling of 10528052976 in words is "ten billion, five hundred twenty-eight million, fifty-two thousand, nine hundred seventy-six".
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