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2989857312 = 2533132967137
BaseRepresentation
bin1011001000110101…
…1001101000100000
321201100221111012000
42302031121220200
522110400413222
61212403004000
7134043240111
oct26215315040
97640844160
102989857312
1112a4773062
126b5369600
13388572a50
14205126208
1512773d9ac
hexb2359a20

2989857312 has 384 divisors, whose sum is σ = 9932025600. Its totient is φ = 868589568.

The previous prime is 2989857301. The next prime is 2989857313. The reversal of 2989857312 is 2137589892.

It is a super-2 number, since 2×29898573122 = 17878493492239730688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2989857313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21823708 + ... + 21823844.

It is an arithmetic number, because the mean of its divisors is an integer number (25864650).

Almost surely, 22989857312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2989857312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966012800).

2989857312 is an abundant number, since it is smaller than the sum of its proper divisors (6942168288).

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

2989857312 is a wasteful number, since it uses less digits than its factorization.

2989857312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 2989857312 is about 54679.5877087602. The cubic root of 2989857312 is about 1440.6223698611.

The spelling of 2989857312 in words is "two billion, nine hundred eighty-nine million, eight hundred fifty-seven thousand, three hundred twelve".