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705738681 = 32413318973
BaseRepresentation
bin101010000100001…
…011011110111001
31211011222020110200
4222010023132321
52421132114211
6154010232413
723326452114
oct5204133671
91734866420
10705738681
11332409a0a
12178425709
13b329b46b
1469a2d57b
1541e57b56
hex2a10b7b9

705738681 has 12 divisors (see below), whose sum is σ = 1019700708. Its totient is φ = 470353824.

The previous prime is 705738673. The next prime is 705738689. The reversal of 705738681 is 186837507.

705738681 is a `hidden beast` number, since 70 + 573 + 8 + 6 + 8 + 1 = 666.

705738681 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 (705738673) and next prime (705738689).

It can be written as a sum of positive squares in 2 ways, for example, as 388720656 + 317018025 = 19716^2 + 17805^2 .

It is not a de Polignac number, because 705738681 - 23 = 705738673 is a prime.

It is a super-2 number, since 2×7057386812 = 996134171719239522, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (705738689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27711 + ... + 46683.

It is an arithmetic number, because the mean of its divisors is an integer number (84975059).

Almost surely, 2705738681 is an apocalyptic number.

It is an amenable number.

705738681 is a deficient number, since it is larger than the sum of its proper divisors (313962027).

705738681 is a wasteful number, since it uses less digits than its factorization.

705738681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23112 (or 23109 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 705738681 is about 26565.7426209018. The cubic root of 705738681 is about 890.3237811130.

The spelling of 705738681 in words is "seven hundred five million, seven hundred thirty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 4133 12399 18973 37197 56919 170757 78415409 235246227 705738681