Search a number
-
+
10785583457 = 113138538209
BaseRepresentation
bin10100000101101111…
…01111000101100001
31000211122222102000222
422002313233011201
5134042102132312
64542124252425
7531163642505
oct120267570541
930748872028
1010785583457
1146351a9540
1221100a1115
13102b69345c
14744618305
15431d38672
hex282def161

10785583457 has 16 divisors (see below), whose sum is σ = 12150274560. Its totient is φ = 9485164800.

The previous prime is 10785583427. The next prime is 10785583477. The reversal of 10785583457 is 75438558701.

10785583457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10785583457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10785583399 and 10785583408.

It is not an unprimeable number, because it can be changed into a prime (10785583427) 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 15 ways as a sum of consecutive naturals, for example, 1309769 + ... + 1317977.

It is an arithmetic number, because the mean of its divisors is an integer number (759392160).

Almost surely, 210785583457 is an apocalyptic number.

It is an amenable number.

10785583457 is a deficient number, since it is larger than the sum of its proper divisors (1364691103).

10785583457 is a wasteful number, since it uses less digits than its factorization.

10785583457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104.

The product of its (nonzero) digits is 4704000, while the sum is 53.

The spelling of 10785583457 in words is "ten billion, seven hundred eighty-five million, five hundred eighty-three thousand, four hundred fifty-seven".

Divisors: 1 11 31 341 3853 8209 42383 90299 119443 254479 1313873 2799269 31629277 347922047 980507587 10785583457