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27663602080880 = 24517123143165181
BaseRepresentation
bin1100100101000111011110…
…01011001101110001110000
310121221121120222211000022102
412102203233023031301300
512111220024113042010
6134500252223155532
75553425563634303
oct622435713156160
9117847528730272
1027663602080880
1188a6082205687
123129484445ba8
13125888835503c
146b8cd575cb3a
1532e8d8ec8ba5
hex1928ef2cdc70

27663602080880 has 80 divisors (see below), whose sum is σ = 68102244552384. Its totient is φ = 10414384926720.

The previous prime is 27663602080871. The next prime is 27663602080883. The reversal of 27663602080880 is 8808020636672.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27663602080883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167391890 + ... + 167557070.

Almost surely, 227663602080880 is an apocalyptic number.

27663602080880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27663602080880 is an abundant number, since it is smaller than the sum of its proper divisors (40438642471504).

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

27663602080880 is a wasteful number, since it uses less digits than its factorization.

27663602080880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288354 (or 288348 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 56.

The spelling of 27663602080880 in words is "twenty-seven trillion, six hundred sixty-three billion, six hundred two million, eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 123143 165181 246286 330362 492572 615715 660724 825905 985144 1231430 1321448 1651810 1970288 2093431 2462860 2642896 2808077 3303620 4186862 4925720 5616154 6607240 8373724 9851440 10467155 11232308 13214480 14040385 16747448 20934310 22464616 28080770 33494896 41868620 44929232 56161540 83737240 112323080 167474480 224646160 20340883883 40681767766 81363535532 101704419415 162727071064 203408838830 325454142128 345795026011 406817677660 691590052022 813635355320 1383180104044 1627270710640 1728975130055 2766360208088 3457950260110 5532720416176 6915900520220 13831801040440 27663602080880