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12272575617 = 321363619513
BaseRepresentation
bin10110110111000000…
…01010010010000001
31011200022000102210200
423123200022102001
5200113234404432
65345443515413
7613061112561
oct133340122201
934608012720
1012272575617
115228604785
122466088b69
13120777ca83
14845cd2da1
154bc663a7c
hex2db80a481

12272575617 has 6 divisors (see below), whose sum is σ = 17727053682. Its totient is φ = 8181717072.

The previous prime is 12272575613. The next prime is 12272575639. The reversal of 12272575617 is 71657527221.

12272575617 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 25 + 7 + 5 + 617 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7743824001 + 4528751616 = 87999^2 + 67296^2 .

It is not a de Polignac number, because 12272575617 - 22 = 12272575613 is a prime.

It is a super-2 number, since 2×122725756172 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12272575613) 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 5 ways as a sum of consecutive naturals, for example, 681809748 + ... + 681809765.

It is an arithmetic number, because the mean of its divisors is an integer number (2954508947).

Almost surely, 212272575617 is an apocalyptic number.

It is an amenable number.

12272575617 is a deficient number, since it is larger than the sum of its proper divisors (5454478065).

12272575617 is a wasteful number, since it uses less digits than its factorization.

12272575617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363619519 (or 1363619516 counting only the distinct ones).

The product of its digits is 411600, while the sum is 45.

The spelling of 12272575617 in words is "twelve billion, two hundred seventy-two million, five hundred seventy-five thousand, six hundred seventeen".

Divisors: 1 3 9 1363619513 4090858539 12272575617