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805357271889 = 34997132
BaseRepresentation
bin10111011100000110000…
…10001011101101010001
32211222202201210100110000
423232003002023231101
5101143332430200024
61413550453200213
7112120334601342
oct13560302135521
92758681710400
10805357271889
11290606203425
12110100630069
135ac38b39341
142ad9da680c9
1515e387bbcc9
hexbb8308bb51

805357271889 has 15 divisors (see below), whose sum is σ = 1203076632043. Its totient is φ = 536899463424.

The previous prime is 805357271881. The next prime is 805357271899. The reversal of 805357271889 is 988172753508.

The square root of 805357271889 is 897417.

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

805357271889 is a `hidden beast` number, since 8 + 0 + 5 + 357 + 271 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156353022225 + 649004249664 = 395415^2 + 805608^2 .

It is not a de Polignac number, because 805357271889 - 23 = 805357271881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (805357271881) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 8026897 + ... + 8126609.

Almost surely, 2805357271889 is an apocalyptic number.

805357271889 is the 897417-th square number.

805357271889 is the 448709-th centered octagonal number.

It is an amenable number.

805357271889 is a deficient number, since it is larger than the sum of its proper divisors (397719360154).

805357271889 is an frugal number, since it uses more digits than its factorization.

805357271889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199438 (or 99716 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 805357271889 in words is "eight hundred five billion, three hundred fifty-seven million, two hundred seventy-one thousand, eight hundred eighty-nine".

Divisors: 1 3 9 27 81 99713 299139 897417 2692251 8076753 9942682369 29828047107 89484141321 268452423963 805357271889