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12623646025 = 522329772
BaseRepresentation
bin10111100000110110…
…11000110101001001
31012120202121122212101
423300123120311021
5201323123133100
65444344313401
7624553135504
oct136033306511
935522548771
1012623646025
1153987a0111
122543772861
13126241c243
1487a79c13b
154dd3ae86a
hex2f06d8d49

12623646025 has 27 divisors (see below), whose sum is σ = 16380256501. Its totient is φ = 9649946240.

The previous prime is 12623646019. The next prime is 12623646041. The reversal of 12623646025 is 52064632621.

The square root of 12623646025 is 112355.

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

12623646025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1796827321 + 10826818704 = 42389^2 + 104052^2 .

It is not a de Polignac number, because 12623646025 - 23 = 12623646017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 12920337 + ... + 12921313.

Almost surely, 212623646025 is an apocalyptic number.

12623646025 is the 112355-th square number.

12623646025 is the 56178-th centered octagonal number.

It is an amenable number.

12623646025 is a deficient number, since it is larger than the sum of its proper divisors (3756610476).

12623646025 is an frugal number, since it uses more digits than its factorization.

12623646025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 12623646025 in words is "twelve billion, six hundred twenty-three million, six hundred forty-six thousand, twenty-five".

Divisors: 1 5 23 25 115 529 575 977 2645 4885 13225 22471 24425 112355 516833 561775 954529 2584165 4772645 12920825 21954167 23863225 109770835 504945841 548854175 2524729205 12623646025