| Base | Representation |
|---|---|
| bin | 10011100101010100… |
| … | …01111011001110000 |
| 3 | 1000010201012202002000 |
| 4 | 21302222033121300 |
| 5 | 133012441012402 |
| 6 | 4455131054000 |
| 7 | 521352133140 |
| oct | 116252173160 |
| 9 | 30121182060 |
| 10 | 10513610352 |
| 11 | 4505728083 |
| 12 | 2054ba1300 |
| 13 | cb722951b |
| 14 | 71a45c920 |
| 15 | 418013c1c |
| hex | 272a8f670 |
10513610352 has 320 divisors, whose sum is σ = 36061977600. Its totient is φ = 2869171200.
The previous prime is 10513610333. The next prime is 10513610353. The reversal of 10513610352 is 25301631501.
10513610352 is a `hidden beast` number, since 1 + 0 + 5 + 13 + 610 + 35 + 2 = 666.
10513610352 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 2×105136103522 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10513610353) 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, 8856703 + ... + 8857889.
It is an arithmetic number, because the mean of its divisors is an integer number (112693680).
Almost surely, 210513610352 is an apocalyptic number.
10513610352 is a gapful number since it is divisible by the number (12) 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 10513610352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030988800).
10513610352 is an abundant number, since it is smaller than the sum of its proper divisors (25548367248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10513610352 is a wasteful number, since it uses less digits than its factorization.
10513610352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1341 (or 1329 counting only the distinct ones).
The product of its (nonzero) digits is 2700, while the sum is 27.
The spelling of 10513610352 in words is "ten billion, five hundred thirteen million, six hundred ten thousand, three hundred fifty-two".
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