Search a number
-
+
809304948249 = 37232957778607
BaseRepresentation
bin10111100011011100101…
…01010111111000011001
32212100221212001002100120
423301232111113320121
5101224424031320444
61415442313423453
7112320221362020
oct13615625277031
92770855032316
10809304948249
112922515aa076
12110a2270ab89
135b41796ab05
142b25607b8b7
15160ba158b19
hexbc6e557e19

809304948249 has 32 divisors (see below), whose sum is σ = 1331219128320. Its totient is φ = 427099455552.

The previous prime is 809304948227. The next prime is 809304948313. The reversal of 809304948249 is 942849403908.

It is not a de Polignac number, because 809304948249 - 236 = 740585471513 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 809304948192 and 809304948201.

It is not an unprimeable number, because it can be changed into a prime (809304948209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28875297 + ... + 28903310.

It is an arithmetic number, because the mean of its divisors is an integer number (41600597760).

Almost surely, 2809304948249 is an apocalyptic number.

It is an amenable number.

809304948249 is a deficient number, since it is larger than the sum of its proper divisors (521914180071).

809304948249 is a wasteful number, since it uses less digits than its factorization.

809304948249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57778669.

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 809304948249 in words is "eight hundred nine billion, three hundred four million, nine hundred forty-eight thousand, two hundred forty-nine".

Divisors: 1 3 7 21 23 29 69 87 161 203 483 609 667 2001 4669 14007 57778607 173335821 404450249 1213350747 1328907961 1675579603 3986723883 5026738809 9302355727 11729057221 27907067181 35187171663 38538330869 115614992607 269768316083 809304948249