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805841949969 = 3472142492
BaseRepresentation
bin10111011100111111110…
…11000101010100010001
32212001000111210112210000
423232133323011110101
5101200331014344334
61414110525400213
7112135341362100
oct13563773052421
92761014715700
10805841949969
11290834855221
12110216a09069
135acb53883c4
142b008192037
1515e6610a299
hexbb9fec5511

805841949969 has 45 divisors (see below), whose sum is σ = 1400423787147. Its totient is φ = 460448797536.

The previous prime is 805841949959. The next prime is 805841949989. The reversal of 805841949969 is 969949148508.

The square root of 805841949969 is 897687.

It is a perfect power (a square), and thus also a powerful number.

805841949969 is a `hidden beast` number, since 80 + 5 + 8 + 419 + 49 + 96 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 590842807569 + 214999142400 = 768663^2 + 463680^2 .

It is not a de Polignac number, because 805841949969 - 223 = 805833561361 is a prime.

It is a super-2 number, since 2×8058419499692 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 805841949897 and 805841949906.

It is not an unprimeable number, because it can be changed into a prime (805841949919) 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 44 ways as a sum of consecutive naturals, for example, 56547157 + ... + 56561405.

Almost surely, 2805841949969 is an apocalyptic number.

805841949969 is the 897687-th square number.

805841949969 is the 448844-th centered octagonal number.

It is an amenable number.

805841949969 is a deficient number, since it is larger than the sum of its proper divisors (594581837178).

805841949969 is an frugal number, since it uses more digits than its factorization.

805841949969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28524 (or 14259 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 805841949969 in words is "eight hundred five billion, eight hundred forty-one million, nine hundred forty-nine thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 14249 42747 99743 128241 299229 384723 698201 897687 1154169 2094603 2693061 6283809 8079183 18851427 56554281 203034001 609102003 1421238007 1827306009 4263714021 5481918027 9948666049 12791142063 16445754081 29845998147 38373426189 89537994441 115120278567 268613983323 805841949969