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27052380280 = 2355960119073
BaseRepresentation
bin11001001100011100…
…101001000001111000
32120211022211022021101
4121030130221001320
5420400402132110
620232214221144
71645245303232
oct311434510170
976738738241
1027052380280
11105223aa782
1252ab9547b4
1327217c0513
141448b99252
15a84e8013a
hex64c729078

27052380280 has 64 divisors (see below), whose sum is σ = 62005759200. Its totient is φ = 10619289600.

The previous prime is 27052380269. The next prime is 27052380287. The reversal of 27052380280 is 8208325072.

It is a super-3 number, since 3×270523802803 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27052380287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1408824 + ... + 1427896.

Almost surely, 227052380280 is an apocalyptic number.

27052380280 is a gapful number since it is divisible by the number (20) 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 27052380280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31002879600).

27052380280 is an abundant number, since it is smaller than the sum of its proper divisors (34953378920).

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

27052380280 is a wasteful number, since it uses less digits than its factorization.

27052380280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19744 (or 19740 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 27052380280 in words is "twenty-seven billion, fifty-two million, three hundred eighty thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 601 1180 1202 2360 2404 3005 4808 6010 12020 19073 24040 35459 38146 70918 76292 95365 141836 152584 177295 190730 283672 354590 381460 709180 762920 1125307 1418360 2250614 4501228 5626535 9002456 11253070 11462873 22506140 22925746 45012280 45851492 57314365 91702984 114628730 229257460 458514920 676309507 1352619014 2705238028 3381547535 5410476056 6763095070 13526190140 27052380280