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871819966369 = 11229229272
BaseRepresentation
bin11001010111111001000…
…01001111011110100001
310002100022122002001101001
430223330201033132201
5103240441402410434
61504301503312001
7116662340305042
oct14537441173641
93070278061331
10871819966369
11306811708500
12120b6a8ab601
136429b4850b1
14302a69708c9
1517a285a2114
hexcafc84f7a1

871819966369 has 27 divisors (see below), whose sum is σ = 992804281651. Its totient is φ = 764972386640.

The previous prime is 871819966343. The next prime is 871819966387. The reversal of 871819966369 is 963669918178.

The square root of 871819966369 is 933713.

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

It can be written as a sum of positive squares in only one way, i.e., 457161242769 + 414658723600 = 676137^2 + 643940^2 .

It is not a de Polignac number, because 871819966369 - 221 = 871817869217 is a prime.

It is a super-2 number, since 2×8718199663692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (871819966309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 297852984 + ... + 297855910.

Almost surely, 2871819966369 is an apocalyptic number.

871819966369 is the 933713-rd square number.

871819966369 is the 466857-th centered octagonal number.

It is an amenable number.

871819966369 is a deficient number, since it is larger than the sum of its proper divisors (120984315282).

871819966369 is an frugal number, since it uses more digits than its factorization.

871819966369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 2967 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 73.

The spelling of 871819966369 in words is "eight hundred seventy-one billion, eight hundred nineteen million, nine hundred sixty-six thousand, three hundred sixty-nine".

Divisors: 1 11 29 121 319 841 2927 3509 9251 32197 84883 101761 354167 933713 2461607 8567329 10270843 27077677 94240619 248452541 297854447 1036646809 2732977951 7205123689 30062757461 79256360579 871819966369