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2482203709440 = 212385721329
BaseRepresentation
bin100100000111101110110…
…111101101000000000000
322210022000001012100000000
4210013232313231000000
5311132023122200230
65140150400000000
7344222215256400
oct44075667550000
98708001170000
102482203709440
11877773312834
12341099000000
131500bc7373b0
14881d4352800
154487b595b60
hex241eeded000

2482203709440 has 2808 divisors, whose sum is σ = 11578480116840. Its totient is φ = 505658474496.

The previous prime is 2482203709421. The next prime is 2482203709459. The reversal of 2482203709440 is 449073022842.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2482203709421) and next prime (2482203709459).

It can be written as a sum of positive squares in 4 ways, for example, as 47405481984 + 2434798227456 = 217728^2 + 1560384^2 .

It is a tau number, because it is divible by the number of its divisors (2808).

It is a super-2 number, since 2×24822037094402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 85593231346 + ... + 85593231374.

It is an arithmetic number, because the mean of its divisors is an integer number (4123390355).

Almost surely, 22482203709440 is an apocalyptic number.

2482203709440 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 2482203709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5789240058420).

2482203709440 is an abundant number, since it is smaller than the sum of its proper divisors (9096276407400).

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

2482203709440 is an frugal number, since it uses more digits than its factorization.

2482203709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2482203709440 in words is "two trillion, four hundred eighty-two billion, two hundred three million, seven hundred nine thousand, four hundred forty".