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12638567149 = 132269317877
BaseRepresentation
bin10111100010101000…
…10011101011101101
31012121210200201210121
423301110103223231
5201340433122044
65450040204541
7625124022355
oct136124235355
935553621717
1012638567149
1153a616161a
122548769751
131265544a00
1487c763b65
154de85a984
hex2f1513aed

12638567149 has 24 divisors (see below), whose sum is σ = 13795469640. Its totient is φ = 11573123328.

The previous prime is 12638567141. The next prime is 12638567173. The reversal of 12638567149 is 94176583621.

It can be written as a sum of positive squares in 12 ways, for example, as 10346551524 + 2292015625 = 101718^2 + 47875^2 .

It is not a de Polignac number, because 12638567149 - 23 = 12638567141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12638567096 and 12638567105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12638567141) 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 23 ways as a sum of consecutive naturals, for example, 14410699 + ... + 14411575.

It is an arithmetic number, because the mean of its divisors is an integer number (574811235).

Almost surely, 212638567149 is an apocalyptic number.

It is an amenable number.

12638567149 is a deficient number, since it is larger than the sum of its proper divisors (1156902491).

12638567149 is a wasteful number, since it uses less digits than its factorization.

12638567149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1476 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 12638567149 in words is "twelve billion, six hundred thirty-eight million, five hundred sixty-seven thousand, one hundred forty-nine".

Divisors: 1 13 169 269 317 877 3497 4121 11401 45461 53573 85273 148213 235913 278009 1108549 3066869 3614117 14411137 39869297 46983521 74784421 972197473 12638567149