Search a number
-
+
5498057609856 = 27337243175329
BaseRepresentation
bin101000000000001110111…
…0001010101001010000000
3201110121110002101012022000
41100000131301111022000
51210040010222003411
615405434531344000
71105135664410500
oct120003561251200
921417402335260
105498057609856
11182a793206549
12749688452000
1330b606988a56
14150170a29a00
159803ca71956
hex5001dc55280

5498057609856 has 384 divisors, whose sum is σ = 18920244384000. Its totient is φ = 1567208079360.

The previous prime is 5498057609809. The next prime is 5498057609861. The reversal of 5498057609856 is 6589067508945.

5498057609856 is a `hidden beast` number, since 5 + 4 + 9 + 8 + 0 + 5 + 7 + 609 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72949600 + ... + 73024928.

It is an arithmetic number, because the mean of its divisors is an integer number (49271469750).

Almost surely, 25498057609856 is an apocalyptic number.

5498057609856 is a gapful number since it is divisible by the number (56) 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 5498057609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9460122192000).

5498057609856 is an abundant number, since it is smaller than the sum of its proper divisors (13422186774144).

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

5498057609856 is a wasteful number, since it uses less digits than its factorization.

5498057609856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75797 (or 75772 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 72.

The spelling of 5498057609856 in words is "five trillion, four hundred ninety-eight billion, fifty-seven million, six hundred nine thousand, eight hundred fifty-six".