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2989331136 = 263311217292
BaseRepresentation
bin1011001000101101…
…1001001011000000
321201022221202102000
42302023121023000
522110232044021
61212343424000
7134035616061
oct26213311300
97638852360
102989331136
1112a4443800
126b5155000
1338841a3bc
1420502a568
15127687b26
hexb22d92c0

2989331136 has 504 divisors, whose sum is σ = 10592683920. Its totient is φ = 823173120.

The previous prime is 2989331131. The next prime is 2989331171. The reversal of 2989331136 is 6311339892.

It is a super-2 number, since 2×29893311362 = 17872201281318100992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2989331091 and 2989331100.

It is not an unprimeable number, because it can be changed into a prime (2989331131) 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 71 ways as a sum of consecutive naturals, for example, 103080370 + ... + 103080398.

It is an arithmetic number, because the mean of its divisors is an integer number (21017230).

Almost surely, 22989331136 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 2989331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296341960).

2989331136 is an abundant number, since it is smaller than the sum of its proper divisors (7603352784).

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

2989331136 is a wasteful number, since it uses less digits than its factorization.

2989331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 62 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 2989331136 is about 54674.7760489241. The cubic root of 2989331136 is about 1440.5378546364.

The spelling of 2989331136 in words is "two billion, nine hundred eighty-nine million, three hundred thirty-one thousand, one hundred thirty-six".