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67930186128 = 24374146710559
BaseRepresentation
bin111111010000111101…
…000110000110010000
320111100011122000000120
4333100331012012100
52103110111424003
651112351350240
74623242024610
oct772075060620
9214304560016
1067930186128
11268999012a2
12111b9822380
13653769840c
143405b86a40
151b78a5c853
hexfd0f46190

67930186128 has 160 divisors (see below), whose sum is σ = 205906821120. Its totient is φ = 18892907520.

The previous prime is 67930186097. The next prime is 67930186141. The reversal of 67930186128 is 82168103976.

It is a super-2 number, since 2×679301861282 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6428113 + ... + 6438671.

It is an arithmetic number, because the mean of its divisors is an integer number (1286917632).

Almost surely, 267930186128 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 67930186128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102953410560).

67930186128 is an abundant number, since it is smaller than the sum of its proper divisors (137976634992).

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

67930186128 is a wasteful number, since it uses less digits than its factorization.

67930186128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11085 (or 11079 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 67930186128 in words is "sixty-seven billion, nine hundred thirty million, one hundred eighty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 467 492 574 656 861 934 984 1148 1401 1722 1868 1968 2296 2802 3269 3444 3736 4592 5604 6538 6888 7472 9807 10559 11208 13076 13776 19147 19614 21118 22416 26152 31677 38294 39228 42236 52304 57441 63354 73913 76588 78456 84472 114882 126708 134029 147826 153176 156912 168944 221739 229764 253416 268058 295652 306352 402087 432919 443478 459528 506832 536116 591304 804174 865838 886956 919056 1072232 1182608 1298757 1608348 1731676 1773912 2144464 2597514 3030433 3216696 3463352 3547824 4931053 5195028 6060866 6433392 6926704 9091299 9862106 10390056 12121732 14793159 18182598 19724212 20780112 24243464 29586318 34517371 36365196 39448424 48486928 59172636 69034742 72730392 78896848 103552113 118345272 138069484 145460784 202173173 207104226 236690544 276138968 404346346 414208452 552277936 606519519 808692692 828416904 1213039038 1415212211 1617385384 1656833808 2426078076 2830424422 3234770768 4245636633 4852156152 5660848844 8491273266 9704312304 11321697688 16982546532 22643395376 33965093064 67930186128