Search a number
-
+
10035087689 = 112193613701
BaseRepresentation
bin10010101100010001…
…10100100101001001
3221220100210021101102
421112020310211021
5131022440301224
64335434431145
7503451560264
oct112610644511
927810707342
1010035087689
11428a5aaa00
121b408924b5
13c3c054113
146b2a97cdb
153daede4ae
hex256234949

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".

Divisors: 1 11 121 193 613 701 2123 6743 7711 23353 74173 84821 118309 135293 429713 1301399 1488223 4726843 14315389 16370453 51995273 82934609 912280699 10035087689