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2010682848 = 25346145433
BaseRepresentation
bin111011111011000…
…1001010111100000
312012010110021100010
41313312021113200
513104213322343
6531303524520
7100553344056
oct16766112740
95163407303
102010682848
11941a83869
12481459740
13260747985
1415107a1d6
15bb7c2d33
hex77d895e0

2010682848 has 48 divisors (see below), whose sum is σ = 5289608016. Its totient is φ = 668759040.

The previous prime is 2010682841. The next prime is 2010682853. The reversal of 2010682848 is 8482860102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×20106828482 = 8085691030482782208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010682841) 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 7 ways as a sum of consecutive naturals, for example, 21540 + ... + 66972.

It is an arithmetic number, because the mean of its divisors is an integer number (110200167).

Almost surely, 22010682848 is an apocalyptic number.

It is an amenable number.

2010682848 is an abundant number, since it is smaller than the sum of its proper divisors (3278925168).

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

2010682848 is a wasteful number, since it uses less digits than its factorization.

2010682848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45907 (or 45899 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 2010682848 is about 44840.6383540645. The cubic root of 2010682848 is about 1262.1603251532.

The spelling of 2010682848 in words is "two billion, ten million, six hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 461 922 1383 1844 2766 3688 5532 7376 11064 14752 22128 44256 45433 90866 136299 181732 272598 363464 545196 726928 1090392 1453856 2180784 4361568 20944613 41889226 62833839 83778452 125667678 167556904 251335356 335113808 502670712 670227616 1005341424 2010682848