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806818311 = 321323535657
BaseRepresentation
bin110000000101110…
…001001000000111
32002020011121122200
4300011301020013
53123021141221
6212020525543
725664561655
oct6005611007
92066147580
10806818311
113844785a2
121a62508b3
13cb1cc4b0
1479221dd5
154ac72426
hex30171207

806818311 has 48 divisors (see below), whose sum is σ = 1334563776. Its totient is φ = 465873408.

The previous prime is 806818303. The next prime is 806818339. The reversal of 806818311 is 113818608.

It is not a de Polignac number, because 806818311 - 23 = 806818303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806818301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139795 + ... + 145451.

It is an arithmetic number, because the mean of its divisors is an integer number (27803412).

Almost surely, 2806818311 is an apocalyptic number.

806818311 is a deficient number, since it is larger than the sum of its proper divisors (527745465).

806818311 is a wasteful number, since it uses less digits than its factorization.

806818311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 806818311 is about 28404.5473648147. The cubic root of 806818311 is about 930.9476258310.

The spelling of 806818311 in words is "eight hundred six million, eight hundred eighteen thousand, three hundred eleven".

Divisors: 1 3 9 13 23 39 53 69 117 159 207 299 477 689 897 1219 2067 2691 3657 5657 6201 10971 15847 16971 47541 50913 73541 130111 142623 220623 299821 390333 661869 899463 1170999 1691443 2698389 3897673 5074329 6895883 11693019 15222987 20687649 35079057 62062947 89646479 268939437 806818311