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10097620218 = 23473237901
BaseRepresentation
bin10010110011101110…
…10111010011111010
3222001201110020220000
421121313113103322
5131134442321333
64345551013430
7505141233000
oct113167272372
928051406800
1010097620218
114311930584
121b5980a276
13c4bca9a0a
146bb0d4a70
153e1742713
hex259dd74fa

10097620218 has 160 divisors (see below), whose sum is σ = 27536889600. Its totient is φ = 2759248800.

The previous prime is 10097620163. The next prime is 10097620249. The reversal of 10097620218 is 81202679001.

10097620218 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 7 + 620 + 21 + 8 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1274068 + ... + 1281968.

It is an arithmetic number, because the mean of its divisors is an integer number (172105560).

Almost surely, 210097620218 is an apocalyptic number.

10097620218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10097620218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13768444800).

10097620218 is an abundant number, since it is smaller than the sum of its proper divisors (17439269382).

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

10097620218 is an equidigital number, since it uses as much as digits as its factorization.

10097620218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959 (or 7936 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10097620218 in words is "ten billion, ninety-seven million, six hundred twenty thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 49 54 63 69 81 98 126 138 147 161 162 189 207 294 322 343 378 414 441 483 567 621 686 882 966 1029 1127 1134 1242 1323 1449 1863 2058 2254 2646 2898 3087 3381 3726 3969 4347 6174 6762 7889 7901 7938 8694 9261 10143 13041 15778 15802 18522 20286 23667 23703 26082 27783 30429 47334 47406 55307 55566 60858 71001 71109 91287 110614 142002 142218 165921 181723 182574 213003 213327 331842 363446 387149 426006 426654 497763 545169 639009 639981 774298 995526 1090338 1161447 1272061 1278018 1279962 1493289 1635507 2322894 2544122 2710043 2986578 3271014 3484341 3816183 4479867 4906521 5420086 6968682 7632366 8130129 8904427 8959734 9813042 10453023 11448549 14719563 16260258 17808854 20906046 22897098 24390387 26713281 29439126 31359069 34345647 48780774 53426562 62330989 62718138 68691294 73171161 80139843 103036941 124661978 146342322 160279686 186992967 206073882 219513483 240419529 373985934 439026966 480839058 560978901 721258587 1121957802 1442517174 1682936703 3365873406 5048810109 10097620218