Search a number
-
+
806822872461 = 3289646985829
BaseRepresentation
bin10111011110110100110…
…01000000010110001101
32212010112212120120110200
423233122121000112031
5101204333123404321
61414352130124113
7112201552155324
oct13573231002615
92763485516420
10806822872461
11291198528871
1211044b420639
135b110676008
142b09c5750bb
1515ec22bdd26
hexbbda64058d

806822872461 has 6 divisors (see below), whose sum is σ = 1165410815790. Its totient is φ = 537881914968.

The previous prime is 806822872447. The next prime is 806822872517. The reversal of 806822872461 is 164278228608.

806822872461 is a `hidden beast` number, since 80 + 6 + 8 + 22 + 87 + 2 + 461 = 666.

806822872461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 520951932900 + 285870939561 = 721770^2 + 534669^2 .

It is not a de Polignac number, because 806822872461 - 213 = 806822864269 is a prime.

It is a super-3 number, since 3×8068228724613 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 806822872398 and 806822872407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806822872421) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44823492906 + ... + 44823492923.

It is an arithmetic number, because the mean of its divisors is an integer number (194235135965).

Almost surely, 2806822872461 is an apocalyptic number.

It is an amenable number.

806822872461 is a deficient number, since it is larger than the sum of its proper divisors (358587943329).

806822872461 is a wasteful number, since it uses less digits than its factorization.

806822872461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89646985835 (or 89646985832 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 806822872461 in words is "eight hundred six billion, eight hundred twenty-two million, eight hundred seventy-two thousand, four hundred sixty-one".

Divisors: 1 3 9 89646985829 268940957487 806822872461