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12595797361 = 72160332
BaseRepresentation
bin10111011101100010…
…01001110101110001
31012111211012210200101
423232301021311301
5201244011003421
65441511352401
7624064340200
oct135661116561
935454183611
1012595797361
115383aa9a94
122536382701
13125971b544
14876bcd237
154dac0d191
hex2eec49d71

12595797361 has 9 divisors (see below), whose sum is σ = 14653168011. Its totient is φ = 10795724352.

The previous prime is 12595797343. The next prime is 12595797371. The reversal of 12595797361 is 16379759521.

The square root of 12595797361 is 112231.

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., 39250225 + 12556547136 = 6265^2 + 112056^2 .

It is not a de Polignac number, because 12595797361 - 29 = 12595796849 is a prime.

It is a super-2 number, since 2×125957973612 (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 (12595797311) 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 8 ways as a sum of consecutive naturals, for example, 777601 + ... + 793633.

It is an arithmetic number, because the mean of its divisors is an integer number (1628129779).

Almost surely, 212595797361 is an apocalyptic number.

12595797361 is the 112231-st square number.

12595797361 is the 56116-th centered octagonal number.

It is an amenable number.

12595797361 is a deficient number, since it is larger than the sum of its proper divisors (2057370650).

12595797361 is an frugal number, since it uses more digits than its factorization.

12595797361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32080 (or 16040 counting only the distinct ones).

The product of its digits is 3572100, while the sum is 55.

The spelling of 12595797361 in words is "twelve billion, five hundred ninety-five million, seven hundred ninety-seven thousand, three hundred sixty-one".

Divisors: 1 7 49 16033 112231 785617 257057089 1799399623 12595797361