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27330986340 = 223257173125383
BaseRepresentation
bin11001011101000011…
…011100000101100100
32121112202001221221100
4121131003130011210
5421433213030330
620320005520100
71655200356630
oct313503340544
977482057840
1027330986340
11106556a1619
125369113030
13276743a588
141473b9ddc0
15a9e665060
hex65d0dc164

27330986340 has 144 divisors (see below), whose sum is σ = 95295852288. Its totient is φ = 6210922752.

The previous prime is 27330986303. The next prime is 27330986399. The reversal of 27330986340 is 4368903372.

27330986340 is a `hidden beast` number, since 2 + 7 + 3 + 3 + 0 + 9 + 8 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155289 + ... + 280671.

It is an arithmetic number, because the mean of its divisors is an integer number (661776752).

Almost surely, 227330986340 is an apocalyptic number.

27330986340 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 27330986340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47647926144).

27330986340 is an abundant number, since it is smaller than the sum of its proper divisors (67964865948).

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

27330986340 is a wasteful number, since it uses less digits than its factorization.

27330986340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125578 (or 125573 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 27330986340 in words is "twenty-seven billion, three hundred thirty million, nine hundred eighty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 173 180 210 252 315 346 420 519 630 692 865 1038 1211 1260 1557 1730 2076 2422 2595 3114 3460 3633 4844 5190 6055 6228 7266 7785 10380 10899 12110 14532 15570 18165 21798 24220 31140 36330 43596 54495 72660 108990 125383 217980 250766 376149 501532 626915 752298 877681 1128447 1253830 1504596 1755362 1880745 2256894 2507660 2633043 3510724 3761490 4388405 4513788 5266086 5642235 7522980 7899129 8776810 10532172 11284470 13165215 15798258 17553620 21691259 22568940 26330430 31596516 39495645 43382518 52660860 65073777 78991290 86765036 108456295 130147554 151838813 157982580 195221331 216912590 260295108 303677626 325368885 390442662 433825180 455516439 607355252 650737770 759194065 780885324 911032878 976106655 1301475540 1366549317 1518388130 1822065756 1952213310 2277582195 2733098634 3036776260 3904426620 4555164390 5466197268 6832746585 9110328780 13665493170 27330986340