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12545624369 is a prime number
BaseRepresentation
bin10111010111100011…
…10000100100110001
31012101022210202021102
423223301300210301
5201143134434434
65432520134145
7622615022225
oct135361604461
935338722242
1012545624369
115358750303
122521607355
13124c202495
1487028c785
154d65ec07e
hex2ebc70931

12545624369 has 2 divisors, whose sum is σ = 12545624370. Its totient is φ = 12545624368.

The previous prime is 12545624341. The next prime is 12545624387. The reversal of 12545624369 is 96342654521.

12545624369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6878545969 + 5667078400 = 82937^2 + 75280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12545624369 is a prime.

It is a super-2 number, since 2×125456243692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12545624569) by changing a digit.

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 as a sum of consecutive naturals, namely, 6272812184 + 6272812185.

It is an arithmetic number, because the mean of its divisors is an integer number (6272812185).

Almost surely, 212545624369 is an apocalyptic number.

It is an amenable number.

12545624369 is a deficient number, since it is larger than the sum of its proper divisors (1).

12545624369 is an equidigital number, since it uses as much as digits as its factorization.

12545624369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1555200, while the sum is 47.

The spelling of 12545624369 in words is "twelve billion, five hundred forty-five million, six hundred twenty-four thousand, three hundred sixty-nine".