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3681574700049 = 32173236972
BaseRepresentation
bin110101100100101110111…
…100111100010000010001
3111000221210021022110022100
4311210232330330100101
5440304331110400144
611455143030431013
7526661565422001
oct65445674742021
914027707273270
103681574700049
11119a38aa37854
124b561bb02469
1320922b90a39c
14ca291102001
1565b75e33269
hex3592ef3c411

3681574700049 has 27 divisors (see below), whose sum is σ = 5350193877873. Its totient is φ = 2439535900032.

The previous prime is 3681574700017. The next prime is 3681574700051. The reversal of 3681574700049 is 9400074751863.

The square root of 3681574700049 is 1918743.

It is a perfect power (a square), and thus also a powerful number.

3681574700049 is a `hidden beast` number, since 3 + 6 + 81 + 57 + 470 + 0 + 0 + 49 = 666.

3681574700049 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 11512449 + 3681563187600 = 3393^2 + 1918740^2 .

It is not a de Polignac number, because 3681574700049 - 25 = 3681574700017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3681574699968 and 3681574700004.

It is not an unprimeable number, because it can be changed into a prime (3681574700099) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 995825769 + ... + 995829465.

Almost surely, 23681574700049 is an apocalyptic number.

3681574700049 is the 1918743-rd square number.

3681574700049 is the 959372-nd centered octagonal number.

It is an amenable number.

3681574700049 is a deficient number, since it is larger than the sum of its proper divisors (1668619177824).

3681574700049 is an frugal number, since it uses more digits than its factorization.

3681574700049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3681574700049 in words is "three trillion, six hundred eighty-one billion, five hundred seventy-four million, seven hundred thousand, forty-nine".

Divisors: 1 3 9 173 519 1557 3697 11091 29929 33273 89787 269361 639581 1918743 5756229 13667809 41003427 110647513 123010281 331942539 995827617 2364530957 7093592871 21280778613 409063855561 1227191566683 3681574700049