Search a number
-
+
10256755770 = 2325113963953
BaseRepresentation
bin10011000110101100…
…11010110000111010
3222110210220011211100
421203112122300322
5132001212141040
64413433512230
7512112662022
oct114326326072
928423804740
1010256755770
114393742468
121ba2b72676
13c75c56b71
146d42baa82
154006c8b30
hex26359ac3a

10256755770 has 24 divisors (see below), whose sum is σ = 26667565236. Its totient is φ = 2735134848.

The previous prime is 10256755753. The next prime is 10256755811. The reversal of 10256755770 is 7755765201.

It is a happy number.

10256755770 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 6 + 75 + 577 + 0 = 666.

10256755770 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 2 ways, for example, as 10118951649 + 137804121 = 100593^2 + 11739^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 56981887 + ... + 56982066.

Almost surely, 210256755770 is an apocalyptic number.

10256755770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10256755770 is an abundant number, since it is smaller than the sum of its proper divisors (16410809466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10256755770 is a wasteful number, since it uses less digits than its factorization.

10256755770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113963966 (or 113963963 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The spelling of 10256755770 in words is "ten billion, two hundred fifty-six million, seven hundred fifty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113963953 227927906 341891859 569819765 683783718 1025675577 1139639530 1709459295 2051351154 3418918590 5128377885 10256755770