Search a number
-
+
8142068610 = 2325136959033
BaseRepresentation
bin1111001010100111…
…00001101110000010
3210000102201221101200
413211103201232002
5113133332143420
63423532442030
7405524304234
oct74523415602
923012657350
108142068610
1134a8a92725
1216b2919316
139c9ac5ba0
145734ca254
15329c0eb90
hex1e54e1b82

8142068610 has 48 divisors (see below), whose sum is σ = 22797795384. Its totient is φ = 2004201216.

The previous prime is 8142068579. The next prime is 8142068611. The reversal of 8142068610 is 168602418.

8142068610 is a `hidden beast` number, since 8 + 14 + 20 + 6 + 8 + 610 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5206921281 + 2935147329 = 72159^2 + 54177^2 .

It is a super-3 number, since 3×81420686103 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8142068611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3478347 + ... + 3480686.

Almost surely, 28142068610 is an apocalyptic number.

8142068610 is an abundant number, since it is smaller than the sum of its proper divisors (14655726774).

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

8142068610 is a wasteful number, since it uses less digits than its factorization.

8142068610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6959059 (or 6959056 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8142068610 is about 90233.4118273270. The cubic root of 8142068610 is about 2011.7696526064.

The spelling of 8142068610 in words is "eight billion, one hundred forty-two million, sixty-eight thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 6959033 13918066 20877099 34795165 41754198 62631297 69590330 90467429 104385495 125262594 180934858 208770990 271402287 313156485 452337145 542804574 626312970 814206861 904674290 1357011435 1628413722 2714022870 4071034305 8142068610