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12085264489 = 47223392
BaseRepresentation
bin10110100000101011…
…01000000001101001
31011012020120001020111
423100111220001221
5144222311430424
65315113054321
7605325024154
oct132025500151
934166501214
1012085264489
1151418a90a1
1224133b73a1
1311a7a1919c
14829094c9b
154aaeb4194
hex2d0568069

12085264489 has 9 divisors (see below), whose sum is σ = 12353150077. Its totient is φ = 11823074284.

The previous prime is 12085264483. The next prime is 12085264493. The reversal of 12085264489 is 98446258021.

The square root of 12085264489 is 109933.

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

It is not a de Polignac number, because 12085264489 - 221 = 12083167337 is a prime.

It is a super-2 number, since 2×120852644892 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12085264483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5165682 + ... + 5168020.

Almost surely, 212085264489 is an apocalyptic number.

12085264489 is the 109933-rd square number.

12085264489 is the 54967-th centered octagonal number.

It is an amenable number.

12085264489 is a deficient number, since it is larger than the sum of its proper divisors (267885588).

12085264489 is an frugal number, since it uses more digits than its factorization.

12085264489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 12085264489 by its sum of digits (49), we get a square (592177959961 = 7695312).

The spelling of 12085264489 in words is "twelve billion, eighty-five million, two hundred sixty-four thousand, four hundred eighty-nine".

Divisors: 1 47 2209 2339 109933 5166851 5470921 257133287 12085264489