Search a number
-
+
27878339116080 = 2432573315281669
BaseRepresentation
bin1100101011010111011100…
…11111111111110000110000
310122201010212101102122121100
412111223232133333300300
512123224314303203310
6135143044315124400
75605100142420435
oct625535637776060
9118633771378540
1027878339116080
11897915670a512
123163013443700
131272bba88b68b
146c5466b71b8c
153352a611bec0
hex195aee7ffc30

27878339116080 has 120 divisors (see below), whose sum is σ = 93637544335920. Its totient is φ = 7433208276480.

The previous prime is 27878339116051. The next prime is 27878339116127. The reversal of 27878339116080 is 8061193387872.

27878339116080 is a `hidden beast` number, since 2 + 7 + 8 + 7 + 8 + 3 + 3 + 9 + 11 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 27878339115999 and 27878339116017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2637486 + ... + 7919154.

It is an arithmetic number, because the mean of its divisors is an integer number (780312869466).

Almost surely, 227878339116080 is an apocalyptic number.

27878339116080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27878339116080 is an abundant number, since it is smaller than the sum of its proper divisors (65759205219840).

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

27878339116080 is a wasteful number, since it uses less digits than its factorization.

27878339116080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289019 (or 5289010 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 27878339116080 in words is "twenty-seven trillion, eight hundred seventy-eight billion, three hundred thirty-nine million, one hundred sixteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 7331 14662 21993 29324 36655 43986 58648 65979 73310 87972 109965 117296 131958 146620 175944 219930 263916 293240 329895 351888 439860 527832 586480 659790 879720 1055664 1319580 1759440 2639160 5278320 5281669 10563338 15845007 21126676 26408345 31690014 42253352 47535021 52816690 63380028 79225035 84506704 95070042 105633380 126760056 158450070 190140084 211266760 237675105 253520112 316900140 380280168 422533520 475350210 633800280 760560336 950700420 1267600560 1901400840 3802801680 38719915439 77439830878 116159746317 154879661756 193599577195 232319492634 309759323512 348479238951 387199154390 464638985268 580798731585 619518647024 696958477902 774398308780 929277970536 1161597463170 1393916955804 1548796617560 1742396194755 1858555941072 2323194926340 2787833911608 3097593235120 3484792389510 4646389852680 5575667823216 6969584779020 9292779705360 13939169558040 27878339116080