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2012683992 = 2331121759691
BaseRepresentation
bin111011111110111…
…0001111011011000
312012021012221101120
41313331301323120
513110221341432
6531414445240
7100606350234
oct16775617330
95167187346
102012683992
11943120300
12482063820
13260c98797
1415143b5c4
15bba6ac2c
hex77f71ed8

2012683992 has 192 divisors, whose sum is σ = 5963932800. Its totient is φ = 563481600.

The previous prime is 2012683991. The next prime is 2012683997. The reversal of 2012683992 is 2993862102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012683991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2912367 + ... + 2913057.

It is an arithmetic number, because the mean of its divisors is an integer number (31062150).

Almost surely, 22012683992 is an apocalyptic number.

2012683992 is a gapful number since it is divisible by the number (22) 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 2012683992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981966400).

2012683992 is an abundant number, since it is smaller than the sum of its proper divisors (3951248808).

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

2012683992 is a wasteful number, since it uses less digits than its factorization.

2012683992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2012683992 is about 44862.9467601048. The cubic root of 2012683992 is about 1262.5789104943.

The spelling of 2012683992 in words is "two billion, twelve million, six hundred eighty-three thousand, nine hundred ninety-two".