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30449917008 = 2433753189989
BaseRepresentation
bin11100010110111101…
…001101110001010000
32220121002220001111000
4130112331031301100
5444330134321013
621553303222000
72125402011150
oct342675156120
986532801430
1030449917008
1111a06203375
125a99747900
132b43663094
14168c0c4760
15bd339c973
hex716f4dc50

30449917008 has 160 divisors (see below), whose sum is σ = 101773843200. Its totient is φ = 8535780864.

The previous prime is 30449916961. The next prime is 30449917019. The reversal of 30449917008 is 80071994403.

30449917008 is a `hidden beast` number, since 30 + 449 + 9 + 170 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65278 + ... + 255266.

It is an arithmetic number, because the mean of its divisors is an integer number (636086520).

Almost surely, 230449917008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30449917008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50886921600).

30449917008 is an abundant number, since it is smaller than the sum of its proper divisors (71323926192).

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

30449917008 is a wasteful number, since it uses less digits than its factorization.

30449917008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190066 (or 190054 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 30449917008 in words is "thirty billion, four hundred forty-nine million, nine hundred seventeen thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 53 54 56 63 72 84 106 108 112 126 144 159 168 189 212 216 252 318 336 371 378 424 432 477 504 636 742 756 848 954 1008 1113 1272 1431 1484 1512 1908 2226 2544 2862 2968 3024 3339 3816 4452 5724 5936 6678 7632 8904 10017 11448 13356 17808 20034 22896 26712 40068 53424 80136 160272 189989 379978 569967 759956 1139934 1329923 1519912 1709901 2279868 2659846 3039824 3419802 3989769 4559736 5129703 5319692 6839604 7979538 9119472 10069417 10259406 10639384 11969307 13679208 15959076 20138834 20518812 21278768 23938614 27358416 30208251 31918152 35907921 40277668 41037624 47877228 60416502 63836304 70485919 71815842 80555336 82075248 90624753 95754456 120833004 140971838 143631684 161110672 181249506 191508912 211457757 241666008 271874259 281943676 287263368 362499012 422915514 483332016 543748518 563887352 574526736 634373271 724998024 845831028 1087497036 1127774704 1268746542 1449996048 1691662056 1903119813 2174994072 2537493084 3383324112 3806239626 4349988144 5074986168 7612479252 10149972336 15224958504 30449917008