Search a number
-
+
10381770927 = 32111134092269
BaseRepresentation
bin10011010101100110…
…10100000010101111
3222210112010121101100
421222303110002233
5132230213132202
64434101214143
7515161411503
oct115263240257
928715117340
1010381770927
11444826a180
122018a01353
13c95b18728
14706b40303
1540b67041c
hex26acd40af

10381770927 has 48 divisors (see below), whose sum is σ = 16551568800. Its totient is φ = 6218311680.

The previous prime is 10381770923. The next prime is 10381770961. The reversal of 10381770927 is 72907718301.

10381770927 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10381770927 - 22 = 10381770923 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10381770923) 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 47 ways as a sum of consecutive naturals, for example, 4574349 + ... + 4576617.

It is an arithmetic number, because the mean of its divisors is an integer number (344824350).

Almost surely, 210381770927 is an apocalyptic number.

10381770927 is a deficient number, since it is larger than the sum of its proper divisors (6169797873).

10381770927 is a wasteful number, since it uses less digits than its factorization.

10381770927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 10381770927 in words is "ten billion, three hundred eighty-one million, seven hundred seventy thousand, nine hundred twenty-seven".

Divisors: 1 3 9 11 33 99 113 339 409 1017 1227 1243 2269 3681 3729 4499 6807 11187 13497 20421 24959 40491 46217 74877 138651 224631 256397 415953 508387 769191 928021 1525161 2307573 2784063 2820367 4575483 8352189 8461101 10208231 25383303 30624693 91874079 104866373 314599119 943797357 1153530103 3460590309 10381770927