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27020001280 = 21551789109
BaseRepresentation
bin11001001010100001…
…001000000000000000
32120202001220021122011
4121022201020000000
5420314110020110
620225100222304
71644403135636
oct311241100000
976661807564
1027020001280
11105060a4978
1252a0b3a994
132717b9474c
14144476b356
15a821d648a
hex64a848000

27020001280 has 256 divisors, whose sum is σ = 70070022000. Its totient is φ = 9965666304.

The previous prime is 27020001269. The next prime is 27020001293. The reversal of 27020001280 is 8210002072.

It can be written as a sum of positive squares in 8 ways, for example, as 13837287424 + 13182713856 = 117632^2 + 114816^2 .

It is a tau number, because it is divible by the number of its divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247889866 + ... + 247889974.

Almost surely, 227020001280 is an apocalyptic number.

27020001280 is a gapful number since it is divisible by the number (20) 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 27020001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35035011000).

27020001280 is an abundant number, since it is smaller than the sum of its proper divisors (43050020720).

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

27020001280 is an equidigital number, since it uses as much as digits as its factorization.

27020001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The spelling of 27020001280 in words is "twenty-seven billion, twenty million, one thousand, two hundred eighty".