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820850013 = 32236176427
BaseRepresentation
bin110000111011010…
…010110101011101
32010012120111112100
4300323102311131
53140114200023
6213241355313
726225052504
oct6073226535
92105514470
10820850013
11391391845
121aaa98b39
131010a3189
147b03583b
154c0e4c43
hex30ed2d5d

820850013 has 24 divisors (see below), whose sum is σ = 1239421248. Its totient is φ = 522510912.

The previous prime is 820849999. The next prime is 820850021. The reversal of 820850013 is 310058028.

It is a happy number.

It is not a de Polignac number, because 820850013 - 228 = 552414557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820850213) 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 23 ways as a sum of consecutive naturals, for example, 124506 + ... + 130932.

It is an arithmetic number, because the mean of its divisors is an integer number (51642552).

Almost surely, 2820850013 is an apocalyptic number.

It is an amenable number.

820850013 is a deficient number, since it is larger than the sum of its proper divisors (418571235).

820850013 is a wasteful number, since it uses less digits than its factorization.

820850013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7073 (or 7070 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 820850013 is about 28650.4801530446. The cubic root of 820850013 is about 936.3134668085.

The spelling of 820850013 in words is "eight hundred twenty million, eight hundred fifty thousand, thirteen".