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842663413089 = 3267245672
BaseRepresentation
bin11000100001100101010…
…01110100010101100001
32222120001122212200101100
430100302221310111201
5102301233313204324
61443040401225013
7114610661554401
oct14206251642541
92876048780340
10842663413089
112a540a58a483
12117392332169
1361602a754c4
142cadc560801
1516dbda334c9
hexc432a74561

842663413089 has 27 divisors (see below), whose sum is σ = 1235889118737. Its totient is φ = 553269726504.

The previous prime is 842663413061. The next prime is 842663413091. The reversal of 842663413089 is 980314366248.

The square root of 842663413089 is 917967.

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

842663413089 is a `hidden beast` number, since 8 + 4 + 266 + 341 + 30 + 8 + 9 = 666.

It is not a de Polignac number, because 842663413089 - 27 = 842663412961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (842663413049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184509084 + ... + 184513650.

Almost surely, 2842663413089 is an apocalyptic number.

842663413089 is the 917967-th square number.

842663413089 is the 458984-th centered octagonal number.

It is an amenable number.

842663413089 is a deficient number, since it is larger than the sum of its proper divisors (393225705648).

842663413089 is an frugal number, since it uses more digits than its factorization.

842663413089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9274 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 842663413089 in words is "eight hundred forty-two billion, six hundred sixty-three million, four hundred thirteen thousand, eighty-nine".

Divisors: 1 3 9 67 201 603 4489 4567 13467 13701 40401 41103 305989 917967 2753901 20501263 20857489 61503789 62572467 184511367 187717401 1397451763 4192355289 12577065867 93629268121 280887804363 842663413089