Search a number
-
+
6606828246480 = 2435721153039631
BaseRepresentation
bin110000000100100010110…
…1001101001010111010000
3212101121101012221110122020
41200021011221221113100
51331221241012341410
622015045054211440
71251220235334300
oct140110551512720
925347335843566
106606828246480
112117a3833a660
128a85454b3b80
1338c037848a27
1418bab4c81600
15b6cd34e4a70
hex60245a695d0

6606828246480 has 480 divisors, whose sum is σ = 25998543986688. Its totient is φ = 1372446028800.

The previous prime is 6606828246409. The next prime is 6606828246503. The reversal of 6606828246480 is 846428286066.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 685991265 + ... + 686000895.

Almost surely, 26606828246480 is an apocalyptic number.

6606828246480 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 6606828246480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999271993344).

6606828246480 is an abundant number, since it is smaller than the sum of its proper divisors (19391715740208).

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

6606828246480 is a wasteful number, since it uses less digits than its factorization.

6606828246480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14962 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 60.

The spelling of 6606828246480 in words is "six trillion, six hundred six billion, eight hundred twenty-eight million, two hundred forty-six thousand, four hundred eighty".