Search a number
-
+
27080201082312 = 2334738915347203
BaseRepresentation
bin1100010100001000110011…
…10001000001010111001000
310112212211201202220121010000
412022010121301001113020
512022140222434113222
6133332250031123000
75463323425156410
oct612043161012710
9115784652817100
1027080201082312
1186a0715593594
1230543a8673460
1312158625b9c91
1469898dc13640
1531e6415239ac
hex18a119c415c8

27080201082312 has 160 divisors (see below), whose sum is σ = 86908146811200. Its totient is φ = 7717309831296.

The previous prime is 27080201082307. The next prime is 27080201082323. The reversal of 27080201082312 is 21328010208072.

27080201082312 is a `hidden beast` number, since 270 + 80 + 201 + 0 + 82 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 5909098 + ... + 9438105.

It is an arithmetic number, because the mean of its divisors is an integer number (543175917570).

Almost surely, 227080201082312 is an apocalyptic number.

It is an amenable number.

27080201082312 is an abundant number, since it is smaller than the sum of its proper divisors (59827945728888).

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

27080201082312 is a wasteful number, since it uses less digits than its factorization.

27080201082312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15347617 (or 15347604 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 27080201082312 in words is "twenty-seven trillion, eighty billion, two hundred one million, eighty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 389 504 567 648 756 778 1134 1167 1512 1556 2268 2334 2723 3112 3501 4536 4668 5446 7002 8169 9336 10503 10892 14004 16338 21006 21784 24507 28008 31509 32676 42012 49014 63018 65352 73521 84024 98028 126036 147042 196056 220563 252072 294084 441126 588168 882252 1764504 15347203 30694406 46041609 61388812 92083218 107430421 122777624 138124827 184166436 214860842 276249654 322291263 368332872 414374481 429721684 552499308 644582526 828748962 859443368 966873789 1104998616 1243123443 1289165052 1657497924 1933747578 2486246886 2578330104 2900621367 3314995848 3867495156 4972493772 5801242734 5970061967 7734990312 8701864101 9944987544 11602485468 11940123934 17403728202 17910185901 23204970936 23880247868 34807456404 35820371802 41790433769 47760495736 53730557703 69614912808 71640743604 83580867538 107461115406 125371301307 143281487208 161191673109 167161735076 214922230812 250742602614 322383346218 334323470152 376113903921 429844461624 483575019327 501485205228 644766692436 752227807842 967150038654 1002970410456 1128341711763 1289533384872 1504455615684 1934300077308 2256683423526 3008911231368 3385025135289 3868600154616 4513366847052 6770050270578 9026733694104 13540100541156 27080201082312