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12116510532 = 22327293315009
BaseRepresentation
bin10110100100011001…
…10100011101000100
31011021102100111202100
423102030310131010
5144303311314112
65322150512100
7606154432410
oct132214643504
934242314670
1012116510532
1151584aa775
122421965630
1311b1339379
1482d2a9d40
154adad72dc
hex2d2334744

12116510532 has 144 divisors (see below), whose sum is σ = 36326908800. Its totient is φ = 3331722240.

The previous prime is 12116510531. The next prime is 12116510563. The reversal of 12116510532 is 23501561121.

12116510532 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 651 + 0 + 5 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12116510496 and 12116510505.

It is not an unprimeable number, because it can be changed into a prime (12116510531) 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, 2416444 + ... + 2421452.

It is an arithmetic number, because the mean of its divisors is an integer number (252270200).

Almost surely, 212116510532 is an apocalyptic number.

12116510532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12116510532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18163454400).

12116510532 is an abundant number, since it is smaller than the sum of its proper divisors (24210398268).

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

12116510532 is a wasteful number, since it uses less digits than its factorization.

12116510532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5386 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 12116510532 in words is "twelve billion, one hundred sixteen million, five hundred ten thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 331 348 406 522 609 662 812 993 1044 1218 1324 1827 1986 2317 2436 2979 3654 3972 4634 5009 5958 6951 7308 9268 9599 10018 11916 13902 15027 19198 20036 20853 27804 28797 30054 35063 38396 41706 45081 57594 60108 67193 70126 83412 86391 90162 105189 115188 134386 140252 145261 172782 180324 201579 210378 268772 290522 315567 345564 403158 420756 435783 581044 604737 631134 806316 871566 1016827 1209474 1262268 1307349 1657979 1743132 2033654 2418948 2614698 3050481 3315958 4067308 4973937 5229396 6100962 6631916 9151443 9947874 11605853 12201924 14921811 18302886 19895748 23211706 29843622 34817559 36605772 46423412 48081391 59687244 69635118 96162782 104452677 139270236 144244173 192325564 208905354 288488346 336569737 417810708 432732519 576976692 673139474 865465038 1009709211 1346278948 1730930076 2019418422 3029127633 4038836844 6058255266 12116510532