Search a number
-
+
6555070080 = 273251387541
BaseRepresentation
bin1100001101011011…
…00110111010000000
3121220211112001200100
412012231212322000
5101411044220310
63002241522400
7321304114326
oct60655467200
917824461610
106555070080
112864191199
12132b343400
13806092bc0
1446281bd16
1528572cec0
hex186b66e80

6555070080 has 192 divisors, whose sum is σ = 24376945320. Its totient is φ = 1613537280.

The previous prime is 6555070057. The next prime is 6555070153. The reversal of 6555070080 is 800705556.

It can be written as a sum of positive squares in 4 ways, for example, as 3914754624 + 2640315456 = 62568^2 + 51384^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×65550700802 = 85937887507422412800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31110 + ... + 118650.

Almost surely, 26555070080 is an apocalyptic number.

6555070080 is a gapful number since it is divisible by the number (60) 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 6555070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12188472660).

6555070080 is an abundant number, since it is smaller than the sum of its proper divisors (17821875240).

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

6555070080 is a wasteful number, since it uses less digits than its factorization.

6555070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87579 (or 87564 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 6555070080 is about 80963.3872809185. The cubic root of 6555070080 is about 1871.5112684271.

The spelling of 6555070080 in words is "six billion, five hundred fifty-five million, seventy thousand, eighty".