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27814036008 = 233111931178873
BaseRepresentation
bin11001111001110110…
…001000001000101000
32122210102000102111210
4121321312020020220
5423430343123013
620435543153120
72003154255663
oct317166101050
978712012453
1027814036008
1110883330a20
125482a457a0
132813539395
1414bbdc26da
15acbc80cc3
hex679d88228

27814036008 has 128 divisors (see below), whose sum is σ = 82425139200. Its totient is φ = 7727270400.

The previous prime is 27814035979. The next prime is 27814036009. The reversal of 27814036008 is 80063041872.

It is not an unprimeable number, because it can be changed into a prime (27814036009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66060 + ... + 244932.

It is an arithmetic number, because the mean of its divisors is an integer number (643946400).

Almost surely, 227814036008 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 27814036008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41212569600).

27814036008 is an abundant number, since it is smaller than the sum of its proper divisors (54611103192).

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

27814036008 is a wasteful number, since it uses less digits than its factorization.

27814036008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178943 (or 178939 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 27814036008 in words is "twenty-seven billion, eight hundred fourteen million, thirty-six thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 31 33 38 44 57 62 66 76 88 93 114 124 132 152 186 209 228 248 264 341 372 418 456 589 627 682 744 836 1023 1178 1254 1364 1672 1767 2046 2356 2508 2728 3534 4092 4712 5016 6479 7068 8184 12958 14136 19437 25916 38874 51832 77748 155496 178873 357746 536619 715492 1073238 1430984 1967603 2146476 3398587 3935206 4292952 5545063 5902809 6797174 7870412 10195761 11090126 11805618 13594348 15740824 16635189 20391522 22180252 23611236 27188696 33270378 37384457 40783044 44360504 47222472 60995693 66540756 74768914 81566088 105356197 112153371 121991386 133081512 149537828 182987079 210712394 224306742 243982772 299075656 316068591 365974158 421424788 448613484 487965544 632137182 731948316 842849576 897226968 1158918167 1264274364 1463896632 2317836334 2528548728 3476754501 4635672668 6953509002 9271345336 13907018004 27814036008