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2010948966 = 232138593799
BaseRepresentation
bin111011111011100…
…1010010101100110
312012010221210101100
41313313022111212
513104300331331
6531313340530
7100555532655
oct16767122546
95163853340
102010948966
119421457a4
12481567746
1326080bb40
1415110919c
15bb826ae6
hex77dca566

2010948966 has 24 divisors (see below), whose sum is σ = 4692214800. Its totient is φ = 618753456.

The previous prime is 2010948937. The next prime is 2010948967. The reversal of 2010948966 is 6698490102.

It is a happy number.

2010948966 is a `hidden beast` number, since 2 + 0 + 109 + 489 + 66 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010948967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4296666 + ... + 4297133.

It is an arithmetic number, because the mean of its divisors is an integer number (195508950).

Almost surely, 22010948966 is an apocalyptic number.

2010948966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2010948966 is an abundant number, since it is smaller than the sum of its proper divisors (2681265834).

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

2010948966 is a wasteful number, since it uses less digits than its factorization.

2010948966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8593820 (or 8593817 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2010948966 is about 44843.6056311265. The cubic root of 2010948966 is about 1262.2160058663.

The spelling of 2010948966 in words is "two billion, ten million, nine hundred forty-eight thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 8593799 17187598 25781397 51562794 77344191 111719387 154688382 223438774 335158161 670316322 1005474483 2010948966