Search a number
-
+
29892153901230 = 23251771275174021
BaseRepresentation
bin1101100101111110011110…
…01101110000000010101110
310220211122212121020022010200
412302333033031300002232
512404223112344314410
6143324133235014330
76203431303566165
oct662771715600256
9126748777208120
1029892153901230
119585211654905
123429371a3a3a6
13138aa8325321a
14754b062843dc
1536c86bd443c0
hex1b2fcf3700ae

29892153901230 has 96 divisors (see below), whose sum is σ = 83450374607808. Its totient is φ = 7396677657600.

The previous prime is 29892153901073. The next prime is 29892153901231. The reversal of 29892153901230 is 3210935129892.

29892153901230 is a `hidden beast` number, since 2 + 9 + 8 + 9 + 2 + 15 + 390 + 1 + 230 = 666.

It is a super-4 number, since 4×298921539012304 (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29892153901231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137478381 + ... + 137695640.

It is an arithmetic number, because the mean of its divisors is an integer number (869274735498).

Almost surely, 229892153901230 is an apocalyptic number.

29892153901230 is an abundant number, since it is smaller than the sum of its proper divisors (53558220706578).

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

29892153901230 is a wasteful number, since it uses less digits than its factorization.

29892153901230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275174122 (or 275174119 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 29892153901230 in words is "twenty-nine trillion, eight hundred ninety-two billion, one hundred fifty-three million, nine hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 71 85 90 102 142 153 170 213 255 306 355 426 510 639 710 765 1065 1207 1278 1530 2130 2414 3195 3621 6035 6390 7242 10863 12070 18105 21726 36210 54315 108630 275174021 550348042 825522063 1375870105 1651044126 2476566189 2751740210 4127610315 4677958357 4953132378 8255220630 9355916714 12382830945 14033875071 19537355491 23389791785 24765661890 28067750142 39074710982 42101625213 46779583570 58612066473 70169375355 84203250426 97686777455 117224132946 140338750710 175836199419 195373554910 210508126065 293060332365 332135043347 351672398838 421016252130 586120664730 664270086694 879180997095 996405130041 1660675216735 1758361994190 1992810260082 2989215390123 3321350433470 4982025650205 5978430780246 9964051300410 14946076950615 29892153901230