Search a number
-
+
10035764049 = 310111330853
BaseRepresentation
bin10010101100010110…
…11001101101010001
3221220102001122011210
421112023121231101
5131023123422144
64335501130333
7503460405213
oct112613315521
927812048153
1010035764049
11428aa22083
121b40b599a9
13c3c22cc2c
146b2bd25b3
153db0c4ab9
hex2562d9b51

10035764049 has 8 divisors (see below), whose sum is σ = 13382382592. Its totient is φ = 6689827440.

The previous prime is 10035764047. The next prime is 10035764051. The reversal of 10035764049 is 94046753001.

10035764049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10035764047) and next prime (10035764051).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10035764049 - 21 = 10035764047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10035763998 and 10035764016.

It is not an unprimeable number, because it can be changed into a prime (10035764047) 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 7 ways as a sum of consecutive naturals, for example, 135094 + ... + 195759.

It is an arithmetic number, because the mean of its divisors is an integer number (1672797824).

Almost surely, 210035764049 is an apocalyptic number.

It is an amenable number.

10035764049 is a deficient number, since it is larger than the sum of its proper divisors (3346618543).

10035764049 is a wasteful number, since it uses less digits than its factorization.

10035764049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340967.

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 10035764049 in words is "ten billion, thirty-five million, seven hundred sixty-four thousand, forty-nine".

Divisors: 1 3 10111 30333 330853 992559 3345254683 10035764049