Search a number
-
+
27068207616 = 29332385133
BaseRepresentation
bin11001001101011001…
…000001001000000000
32120212102121102022000
4121031121001020000
5420413430120431
620233541344000
71645526653122
oct311531011000
976772542260
1027068207616
111053033001a
1252b5108000
132724b725c8
14144ad19212
15a865599e6
hex64d641200

27068207616 has 160 divisors (see below), whose sum is σ = 83608398720. Its totient is φ = 8630341632.

The previous prime is 27068207599. The next prime is 27068207641. The reversal of 27068207616 is 61670286072.

27068207616 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 8 + 20 + 7 + 616 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275386 + ... + 360518.

It is an arithmetic number, because the mean of its divisors is an integer number (522552492).

Almost surely, 227068207616 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 27068207616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41804199360).

27068207616 is an abundant number, since it is smaller than the sum of its proper divisors (56540191104).

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

27068207616 is an equidigital number, since it uses as much as digits as its factorization.

27068207616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85183 (or 85161 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27068207616 in words is "twenty-seven billion, sixty-eight million, two hundred seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1104 1152 1242 1472 1536 1656 1728 2208 2304 2484 2944 3312 3456 4416 4608 4968 5888 6624 6912 8832 9936 11776 13248 13824 17664 19872 26496 35328 39744 52992 79488 85133 105984 158976 170266 255399 317952 340532 510798 681064 766197 1021596 1362128 1532394 1958059 2043192 2298591 2724256 3064788 3916118 4086384 4597182 5448512 5874177 6129576 7832236 8172768 9194364 10897024 11748354 12259152 15664472 16345536 17622531 18388728 21794048 23496708 24518304 31328944 32691072 35245062 36777456 43588096 46993416 49036608 52867593 62657888 65382144 70490124 73554912 93986832 98073216 105735186 125315776 130764288 140980248 147109824 187973664 196146432 211470372 250631552 281960496 294219648 375947328 392292864 422940744 501263104 563920992 588439296 751894656 845881488 1002526208 1127841984 1176878592 1503789312 1691762976 2255683968 3007578624 3383525952 4511367936 6767051904 9022735872 13534103808 27068207616