Search a number
-
+
808503929856 = 21032721535821
BaseRepresentation
bin10111100001111101001…
…01101110110000000000
32212021220000210010200200
423300332211232300000
5101221304001223411
61415231021045200
7112261324004310
oct13607645566000
92767800703620
10808503929856
112919804330a7
1211083a3b6800
135b31aa1c52c
142b1bb929440
151606eb7ee56
hexbc3e96ec00

808503929856 has 264 divisors, whose sum is σ = 2669740698144. Its totient is φ = 230854164480.

The previous prime is 808503929833. The next prime is 808503929873. The reversal of 808503929856 is 658929305808.

808503929856 is a `hidden beast` number, since 80 + 85 + 0 + 392 + 98 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 808503929793 and 808503929802.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 138891426 + ... + 138897246.

Almost surely, 2808503929856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808503929856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334870349072).

808503929856 is an abundant number, since it is smaller than the sum of its proper divisors (1861236768288).

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

808503929856 is a wasteful number, since it uses less digits than its factorization.

808503929856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 808503929856 in words is "eight hundred eight billion, five hundred three million, nine hundred twenty-nine thousand, eight hundred fifty-six".