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2985263820 = 22325711435009
BaseRepresentation
bin1011000111101111…
…1000001011001100
321201001022010002200
42301323320023030
522103211420240
61212120321500
7133656216030
oct26173701314
97631263080
102985263820
1112a2115990
126b3913290
13387624cc6
1420468c1c0
15127132930
hexb1ef82cc

2985263820 has 288 divisors, whose sum is σ = 11554583040. Its totient is φ = 605767680.

The previous prime is 2985263791. The next prime is 2985263821. The reversal of 2985263820 is 283625892.

It is a happy number.

2985263820 is a `hidden beast` number, since 2 + 9 + 8 + 5 + 2 + 638 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2985263821) by changing a digit.

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, 593476 + ... + 598484.

It is an arithmetic number, because the mean of its divisors is an integer number (40120080).

Almost surely, 22985263820 is an apocalyptic number.

2985263820 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 2985263820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777291520).

2985263820 is an abundant number, since it is smaller than the sum of its proper divisors (8569319220).

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

2985263820 is a wasteful number, since it uses less digits than its factorization.

2985263820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2985263820 is about 54637.5678448446. The cubic root of 2985263820 is about 1439.8842210155.

The spelling of 2985263820 in words is "two billion, nine hundred eighty-five million, two hundred sixty-three thousand, eight hundred twenty".