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2674420650000 = 24325511249117
BaseRepresentation
bin100110111010101111111…
…001001001000000010000
3100110200010222021122002200
4212322233321021000100
5322304203141300000
65404340100043200
7364135431305121
oct46725771110020
910420128248080
102674420650000
1194124080a200
123723a2093500
1316527344c448
149362a8bc048
154987b5c3500
hex26eafe49010

2674420650000 has 540 divisors, whose sum is σ = 10283231213892. Its totient is φ = 648331200000.

The previous prime is 2674420649969. The next prime is 2674420650017. The reversal of 2674420650000 is 560244762.

It can be written as a sum of positive squares in 6 ways, for example, as 1644837030144 + 1029583619856 = 1282512^2 + 1014684^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 54425442 + ... + 54474558.

Almost surely, 22674420650000 is an apocalyptic number.

2674420650000 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 2674420650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141615606946).

2674420650000 is an abundant number, since it is smaller than the sum of its proper divisors (7608810563892).

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

2674420650000 is a wasteful number, since it uses less digits than its factorization.

2674420650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49178 (or 49138 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 2674420650000 its reverse (560244762), we get a palindrome (2674980894762).

The spelling of 2674420650000 in words is "two trillion, six hundred seventy-four billion, four hundred twenty million, six hundred fifty thousand".