Search a number
-
+
17980712070 = 23523311276619
BaseRepresentation
bin10000101111101110…
…111110010010000110
31201102002212210221220
4100233232332102012
5243311030241240
612132113021210
71204402350036
oct205756762206
951362783856
1017980712070
117697709122
123599854806
1319072392c9
14c280498c6
157038485d0
hex42fbbe486

17980712070 has 128 divisors (see below), whose sum is σ = 46855618560. Its totient is φ = 4402823040.

The previous prime is 17980712069. The next prime is 17980712089. The reversal of 17980712070 is 7021708971.

17980712070 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2713221 + ... + 2719839.

It is an arithmetic number, because the mean of its divisors is an integer number (366059520).

Almost surely, 217980712070 is an apocalyptic number.

17980712070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 17980712070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23427809280).

17980712070 is an abundant number, since it is smaller than the sum of its proper divisors (28874906490).

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

17980712070 is a wasteful number, since it uses less digits than its factorization.

17980712070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810.

The product of its (nonzero) digits is 49392, while the sum is 42.

The spelling of 17980712070 in words is "seventeen billion, nine hundred eighty million, seven hundred twelve thousand, seventy".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 127 138 155 186 230 254 310 345 381 465 635 690 713 762 930 1270 1426 1905 2139 2921 3565 3810 3937 4278 5842 6619 7130 7874 8763 10695 11811 13238 14605 17526 19685 19857 21390 23622 29210 33095 39370 39714 43815 59055 66190 87630 90551 99285 118110 152237 181102 198570 205189 271653 304474 410378 452755 456711 543306 615567 761185 840613 905510 913422 1025945 1231134 1358265 1522370 1681226 2051890 2283555 2521839 2716530 3077835 4203065 4567110 4719347 5043678 6155670 8406130 9438694 12609195 14158041 19334099 23596735 25218390 26059003 28316082 38668198 47193470 52118006 58002297 70790205 78177009 96670495 116004594 130295015 141580410 156354018 193340990 260590030 290011485 390885045 580022970 599357069 781770090 1198714138 1798071207 2996785345 3596142414 5993570690 8990356035 17980712070