Base | Representation |
---|---|
bin | 10011111101001001… |
… | …01110101001000100 |
3 | 1000122122022210012100 |
4 | 21332210232221010 |
5 | 133420123221121 |
6 | 4531031152100 |
7 | 526330115442 |
oct | 117644565104 |
9 | 30578283170 |
10 | 10713492036 |
11 | 45a853a155 |
12 | 20abb15630 |
13 | 1019771a00 |
14 | 738c0db92 |
15 | 42a848026 |
hex | 27e92ea44 |
10713492036 has 81 divisors (see below), whose sum is σ = 29346865821. Its totient is φ = 3293974944.
The previous prime is 10713492029. The next prime is 10713492047. The reversal of 10713492036 is 63029431701.
The square root of 10713492036 is 103506.
It is a perfect power (a square), and thus also a powerful number.
10713492036 is a `hidden beast` number, since 107 + 1 + 349 + 203 + 6 = 666.
10713492036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 1584836100 + 9128655936 = 39810^2 + 95544^2 .
It is a super-2 number, since 2×107134920362 (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 an unprimeable number.
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 26 ways as a sum of consecutive naturals, for example, 8072805 + ... + 8074131.
Almost surely, 210713492036 is an apocalyptic number.
10713492036 is the 103506-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10713492036
10713492036 is an abundant number, since it is smaller than the sum of its proper divisors (18633373785).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10713492036 is a wasteful number, since it uses less digits than its factorization.
10713492036 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2690 (or 1345 counting only the distinct ones).
The product of its (nonzero) digits is 27216, while the sum is 36.
Multiplying 10713492036 by its sum of digits (36), we get a square (385685713296 = 6210362).
10713492036 divided by its sum of digits (36) gives a square (297597001 = 172512).
The spelling of 10713492036 in words is "ten billion, seven hundred thirteen million, four hundred ninety-two thousand, thirty-six".
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