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10343256057 = 323737383273
BaseRepresentation
bin10011010001000000…
…11000111111111001
3222200211122211220200
421220200120333321
5132140333143212
64430203512413
7514213140321
oct115040307771
928624584820
1010343256057
114428553402
122007b28709
13c8ab51b74
14701996281
154080b36dc
hex268818ff9

10343256057 has 24 divisors (see below), whose sum is σ = 15385371144. Its totient is φ = 6691071744.

The previous prime is 10343255981. The next prime is 10343256061. The reversal of 10343256057 is 75065234301.

10343256057 is a `hidden beast` number, since 1 + 0 + 3 + 43 + 2 + 5 + 605 + 7 = 666.

10343256057 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 4 ways, for example, as 3837059136 + 6506196921 = 61944^2 + 80661^2 .

It is not a de Polignac number, because 10343256057 - 216 = 10343190521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10343256067) 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 23 ways as a sum of consecutive naturals, for example, 82573 + ... + 165845.

It is an arithmetic number, because the mean of its divisors is an integer number (641057131).

Almost surely, 210343256057 is an apocalyptic number.

It is an amenable number.

10343256057 is a deficient number, since it is larger than the sum of its proper divisors (5042115087).

10343256057 is a wasteful number, since it uses less digits than its factorization.

10343256057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83689 (or 83686 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 10343256057 in words is "ten billion, three hundred forty-three million, two hundred fifty-six thousand, fifty-seven".

Divisors: 1 3 9 37 111 333 373 1119 3357 13801 41403 83273 124209 249819 749457 3081101 9243303 27729909 31060829 93182487 279547461 1149250673 3447752019 10343256057