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27894014848 = 277197158029
BaseRepresentation
bin11001111110100111…
…001110001110000000
32122222222111202212001
4121332213032032000
5424111331433343
620451521313344
72005145133310
oct317647161600
978888452761
1027894014848
1110914498237
1254a5795854
132826c8cc3b
1414c8881440
15ad3ccd44d
hex67e9ce380

27894014848 has 64 divisors (see below), whose sum is σ = 63831477600. Its totient is φ = 11893819392.

The previous prime is 27894014821. The next prime is 27894014891. The reversal of 27894014848 is 84841049872.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97498 + ... + 255526.

Almost surely, 227894014848 is an apocalyptic number.

27894014848 is a gapful number since it is divisible by the number (28) 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 27894014848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31915738800).

27894014848 is an abundant number, since it is smaller than the sum of its proper divisors (35937462752).

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

27894014848 is a wasteful number, since it uses less digits than its factorization.

27894014848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158247 (or 158235 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 55.

The spelling of 27894014848 in words is "twenty-seven billion, eight hundred ninety-four million, fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 197 224 394 448 788 896 1379 1576 2758 3152 5516 6304 11032 12608 22064 25216 44128 88256 158029 176512 316058 632116 1106203 1264232 2212406 2528464 4424812 5056928 8849624 10113856 17699248 20227712 31131713 35398496 62263426 70796992 124526852 141593984 217921991 249053704 435843982 498107408 871687964 996214816 1743375928 1992429632 3486751856 3984859264 6973503712 13947007424 27894014848