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12653000361 = 34156209881
BaseRepresentation
bin10111100100010110…
…10111011010101001
31012122210212000110000
423302023113122221
5201403132002421
65451313413213
7625360504611
oct136213273251
935583760400
1012653000361
11540331a4a1
12255156a209
131268529381
1488063da41
154e0c5c226
hex2f22d76a9

12653000361 has 10 divisors (see below), whose sum is σ = 18901395722. Its totient is φ = 8435333520.

The previous prime is 12653000341. The next prime is 12653000377. The reversal of 12653000361 is 16300035621.

12653000361 is a `hidden beast` number, since 1 + 2 + 653 + 0 + 0 + 0 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11247875136 + 1405125225 = 106056^2 + 37485^2 .

It is not a de Polignac number, because 12653000361 - 214 = 12652983977 is a prime.

It is a super-2 number, since 2×126530003612 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12653000341) 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 9 ways as a sum of consecutive naturals, for example, 78104860 + ... + 78105021.

Almost surely, 212653000361 is an apocalyptic number.

It is an amenable number.

12653000361 is a deficient number, since it is larger than the sum of its proper divisors (6248395361).

12653000361 is an equidigital number, since it uses as much as digits as its factorization.

12653000361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156209893 (or 156209884 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 12653000361 its reverse (16300035621), we get a palindrome (28953035982).

The spelling of 12653000361 in words is "twelve billion, six hundred fifty-three million, three hundred sixty-one", and thus it is an aban number.

Divisors: 1 3 9 27 81 156209881 468629643 1405888929 4217666787 12653000361