Base | Representation |
---|---|
bin | 10010101100010001… |
… | …10100100101001001 |
3 | 221220100210021101102 |
4 | 21112020310211021 |
5 | 131022440301224 |
6 | 4335434431145 |
7 | 503451560264 |
oct | 112610644511 |
9 | 27810707342 |
10 | 10035087689 |
11 | 428a5aaa00 |
12 | 1b408924b5 |
13 | c3c054113 |
14 | 6b2a97cdb |
15 | 3daede4ae |
hex | 256234949 |
10035087689 has 24 divisors (see below), whose sum is σ = 11121384456. Its totient is φ = 9047808000.
The previous prime is 10035087659. The next prime is 10035087707. The reversal of 10035087689 is 98678053001.
It is a happy number.
10035087689 is digitally balanced in base 3, 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 4 ways, for example, as 92006464 + 9943081225 = 9592^2 + 99715^2 .
It is a de Polignac number, because none of the positive numbers 2k-10035087689 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (10035087649) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14315039 + ... + 14315739.
It is an arithmetic number, because the mean of its divisors is an integer number (463391019).
Almost surely, 210035087689 is an apocalyptic number.
It is an amenable number.
10035087689 is a deficient number, since it is larger than the sum of its proper divisors (1086296767).
10035087689 is a wasteful number, since it uses less digits than its factorization.
10035087689 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1529 (or 1518 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 47.
The spelling of 10035087689 in words is "ten billion, thirty-five million, eighty-seven thousand, six hundred eighty-nine".
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