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27180860168 = 23721127572
BaseRepresentation
bin11001010100000110…
…110000001100001000
32121011021120202112202
4121110012300030020
5421131300011133
620253044055332
71651365333200
oct312406601410
977137522482
1027180860168
1110588983600
125326994548
1327422c6117
14145bc81400
15a913ad2e8
hex6541b0308

27180860168 has 108 divisors (see below), whose sum is σ = 65250463005. Its totient is φ = 10575956160.

The previous prime is 27180860149. The next prime is 27180860177. The reversal of 27180860168 is 86106808172.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 26798344804 + 382515364 = 163702^2 + 19558^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=116578.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35905646 + ... + 35906402.

Almost surely, 227180860168 is an apocalyptic number.

27180860168 is a gapful number since it is divisible by the number (28) 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 27180860168

27180860168 is an abundant number, since it is smaller than the sum of its proper divisors (38069602837).

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

27180860168 is an equidigital number, since it uses as much as digits as its factorization.

27180860168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 47.

The spelling of 27180860168 in words is "twenty-seven billion, one hundred eighty million, eight hundred sixty thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 757 847 968 1078 1514 1694 2156 3028 3388 4312 5299 5929 6056 6776 8327 10598 11858 16654 21196 23716 33308 37093 42392 47432 58289 66616 74186 91597 116578 148372 183194 233156 296744 366388 408023 466312 573049 641179 732776 816046 1146098 1282358 1632092 2292196 2564716 3264184 4011343 4488253 4584392 5129432 6303539 8022686 8976506 12607078 16045372 17953012 25214156 28079401 32090744 35906024 44124773 50428312 56158802 69338929 88249546 112317604 138677858 176499092 224635208 277355716 308873411 352998184 485372503 554711432 617746822 970745006 1235493644 1941490012 2470987288 3397607521 3882980024 6795215042 13590430084 27180860168