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12635005151 = 1312113311381
BaseRepresentation
bin10111100010001101…
…01110000011011111
31012121112222202122202
423301012232003133
5201334030131101
65445432002115
7625051525466
oct136106560337
935545882582
1012635005151
1153a414941a
12254753033b
131264898612
1487c0b79dd
154de3a536b
hex2f11ae0df

12635005151 has 16 divisors (see below), whose sum is σ = 12839730816. Its totient is φ = 12432420000.

The previous prime is 12635005139. The next prime is 12635005247. The reversal of 12635005151 is 15150053621.

It is a cyclic number.

It is not a de Polignac number, because 12635005151 - 218 = 12634743007 is a prime.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12635005121) 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 15 ways as a sum of consecutive naturals, for example, 9148481 + ... + 9149861.

It is an arithmetic number, because the mean of its divisors is an integer number (802483176).

Almost surely, 212635005151 is an apocalyptic number.

12635005151 is a deficient number, since it is larger than the sum of its proper divisors (204725665).

12635005151 is a wasteful number, since it uses less digits than its factorization.

12635005151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054.

The product of its (nonzero) digits is 4500, while the sum is 29.

Adding to 12635005151 its reverse (15150053621), we get a palindrome (27785058772).

The spelling of 12635005151 in words is "twelve billion, six hundred thirty-five million, five thousand, one hundred fifty-one".

Divisors: 1 131 211 331 1381 27641 43361 69841 180911 291391 457111 9149171 38172221 59881541 96450421 12635005151