Search a number
-
+
27030084480 = 273357223463
BaseRepresentation
bin11001001011000111…
…100101101110000000
32120202202212120012000
4121023013211232000
5420324200200410
620230100304000
71644554633010
oct311307455600
976682776160
1027030084480
11105108615a3
1252a43a2000
132719cb5139
141445c33c40
15a83028dc0
hex64b1e5b80

27030084480 has 256 divisors, whose sum is σ = 109407974400. Its totient is φ = 6178277376.

The previous prime is 27030084469. The next prime is 27030084493. The reversal of 27030084480 is 8448003072.

27030084480 is a `hidden beast` number, since 2 + 70 + 30 + 0 + 84 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9229 + ... + 232691.

It is an arithmetic number, because the mean of its divisors is an integer number (427374900).

Almost surely, 227030084480 is an apocalyptic number.

27030084480 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 27030084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54703987200).

27030084480 is an abundant number, since it is smaller than the sum of its proper divisors (82377889920).

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

27030084480 is a wasteful number, since it uses less digits than its factorization.

27030084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223498 (or 223480 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 27030084480 in words is "twenty-seven billion, thirty million, eighty-four thousand, four hundred eighty".