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27750012640 = 255761406177
BaseRepresentation
bin11001110110000001…
…111001011011100000
32122121221112200221221
4121312001321123200
5423313000401030
620425335024424
72001446133640
oct316601713340
978557480857
1027750012640
1110850182249
12546550b114
1328031b102c
1414b36b8520
15ac6335e7a
hex6760796e0

27750012640 has 96 divisors (see below), whose sum is σ = 76153500864. Its totient is φ = 9358295040.

The previous prime is 27750012571. The next prime is 27750012643. The reversal of 27750012640 is 4621005772.

It is a junction number, because it is equal to n+sod(n) for n = 27750012596 and 27750012605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27750012643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134769 + ... + 271408.

It is an arithmetic number, because the mean of its divisors is an integer number (793265634).

Almost surely, 227750012640 is an apocalyptic number.

27750012640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27750012640 is an abundant number, since it is smaller than the sum of its proper divisors (48403488224).

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

27750012640 is a wasteful number, since it uses less digits than its factorization.

27750012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406260 (or 406252 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 27750012640 in words is "twenty-seven billion, seven hundred fifty million, twelve thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 70 80 112 122 140 160 224 244 280 305 427 488 560 610 854 976 1120 1220 1708 1952 2135 2440 3416 4270 4880 6832 8540 9760 13664 17080 34160 68320 406177 812354 1624708 2030885 2843239 3249416 4061770 5686478 6498832 8123540 11372956 12997664 14216195 16247080 22745912 24776797 28432390 32494160 45491824 49553594 56864780 64988320 90983648 99107188 113729560 123883985 173437579 198214376 227459120 247767970 346875158 396428752 454918240 495535940 693750316 792857504 867187895 991071880 1387500632 1734375790 1982143760 2775001264 3468751580 3964287520 5550002528 6937503160 13875006320 27750012640