Search a number
-
+
138207728178 = 23213653904489
BaseRepresentation
bin1000000010110111010…
…0101001001000110010
3111012201221020001000100
42000231310221020302
54231022134300203
6143254115133230
712661626210012
oct2005564511062
9435657201010
10138207728178
1153682728863
12229515a4216
1310057479720
1469915a7c42
1538dd6e2ea3
hex202dd29232

138207728178 has 48 divisors (see below), whose sum is σ = 322978907160. Its totient is φ = 42460284672.

The previous prime is 138207728147. The next prime is 138207728179. The reversal of 138207728178 is 871827702831.

138207728178 is a `hidden beast` number, since 1 + 382 + 0 + 77 + 28 + 178 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32161759569 + 106045968609 = 179337^2 + 325647^2 .

It is a super-2 number, since 2×1382077281782 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138207728179) 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, 299443 + ... + 605046.

Almost surely, 2138207728178 is an apocalyptic number.

138207728178 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

138207728178 is an abundant number, since it is smaller than the sum of its proper divisors (184771178982).

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

138207728178 is a wasteful number, since it uses less digits than its factorization.

138207728178 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905163 (or 905160 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 138207728178 in words is "one hundred thirty-eight billion, two hundred seven million, seven hundred twenty-eight thousand, one hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 653 1306 1959 3918 5877 8489 11754 16978 25467 50934 76401 152802 904489 1808978 2713467 5426934 8140401 11758357 16280802 23516714 35275071 70550142 105825213 211650426 590631317 1181262634 1771893951 3543787902 5315681853 7678207121 10631363706 15356414242 23034621363 46069242726 69103864089 138207728178