| Base | Representation |
|---|---|
| bin | 10011110110010101… |
| … | …01011010100110000 |
| 3 | 1000111122202201002000 |
| 4 | 21323022223110300 |
| 5 | 133311010043211 |
| 6 | 4521230054000 |
| 7 | 525034214400 |
| oct | 117312532460 |
| 9 | 30448681060 |
| 10 | 10656331056 |
| 11 | 4579248278 |
| 12 | 209494a300 |
| 13 | 100a97a047 |
| 14 | 7313b0800 |
| 15 | 425806656 |
| hex | 27b2ab530 |
10656331056 has 240 divisors, whose sum is σ = 36341959680. Its totient is φ = 2979607680.
The previous prime is 10656331031. The next prime is 10656331057. The reversal of 10656331056 is 65013365601.
10656331056 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 633 + 10 + 5 + 6 = 666.
10656331056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×106563310562 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 10656331056.
It is not an unprimeable number, because it can be changed into a prime (10656331057) 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 47 ways as a sum of consecutive naturals, for example, 989541 + ... + 1000251.
It is an arithmetic number, because the mean of its divisors is an integer number (151424832).
Almost surely, 210656331056 is an apocalyptic number.
10656331056 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 10656331056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170979840).
10656331056 is an abundant number, since it is smaller than the sum of its proper divisors (25685628624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10656331056 is a wasteful number, since it uses less digits than its factorization.
10656331056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10789 (or 10770 counting only the distinct ones).
The product of its (nonzero) digits is 48600, while the sum is 36.
Adding to 10656331056 its reverse (65013365601), we get a palindrome (75669696657).
The spelling of 10656331056 in words is "ten billion, six hundred fifty-six million, three hundred thirty-one thousand, fifty-six".
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