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27900256768 = 29373146093
BaseRepresentation
bin11001111110111111…
…000010001000000000
32200000102020220011021
4121332333002020000
5424114431204033
620452303155224
72005252161316
oct317677021000
980012226137
1027900256768
1110917a7094a
1254a78a5b14
132828367097
1414c96280b6
15ad4612b2d
hex67efc2200

27900256768 has 40 divisors (see below), whose sum is σ = 55895856588. Its totient is φ = 13912633344.

The previous prime is 27900256603. The next prime is 27900256771. The reversal of 27900256768 is 86765200972.

It can be written as a sum of positive squares in 2 ways, for example, as 24052287744 + 3847969024 = 155088^2 + 62032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117930 + ... + 264022.

Almost surely, 227900256768 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 27900256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27947928294).

27900256768 is an abundant number, since it is smaller than the sum of its proper divisors (27995599820).

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

27900256768 is an equidigital number, since it uses as much as digits as its factorization.

27900256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146484 (or 146468 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 27900256768 in words is "twenty-seven billion, nine hundred million, two hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 373 512 746 1492 2984 5968 11936 23872 47744 95488 146093 190976 292186 584372 1168744 2337488 4674976 9349952 18699904 37399808 54492689 74799616 108985378 217970756 435941512 871883024 1743766048 3487532096 6975064192 13950128384 27900256768