Search a number
-
+
5580891278976 = 273132389546149
BaseRepresentation
bin101000100110110011100…
…0010101100111010000000
3201202112020220112120120010
41101031213002230322000
51212414131131411401
615511454232344520
71114130455110216
oct121154702547200
921675226476503
105580891278976
11186192a6a7132
12761745245140
13316377ba8b50
1415418bc70cb6
159a289bcaed6
hex513670ace80

5580891278976 has 256 divisors, whose sum is σ = 16845887520000. Its totient is φ = 1624078123008.

The previous prime is 5580891278957. The next prime is 5580891279001. The reversal of 5580891278976 is 6798721980855.

It is a super-2 number, since 2×55808912789762 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5580891278898 and 5580891278907.

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, 9945550 + ... + 10491698.

It is an arithmetic number, because the mean of its divisors is an integer number (65804248125).

Almost surely, 25580891278976 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 5580891278976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8422943760000).

5580891278976 is an abundant number, since it is smaller than the sum of its proper divisors (11264996241024).

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

5580891278976 is a wasteful number, since it uses less digits than its factorization.

5580891278976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546291 (or 546279 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 75.

The spelling of 5580891278976 in words is "five trillion, five hundred eighty billion, eight hundred ninety-one million, two hundred seventy-eight thousand, nine hundred seventy-six".