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12640442136 = 2337673111799
BaseRepresentation
bin10111100010110110…
…11101011100011000
31012121221012222210120
423301123131130120
5201341423122021
65450144313240
7625145661660
oct136133353430
935557188716
1012640442136
1153a72222a3
122549312820
131265a5027a
1487cad11a0
154deacb2c6
hex2f16dd718

12640442136 has 64 divisors (see below), whose sum is σ = 36169536000. Its totient is φ = 3606156288.

The previous prime is 12640442069. The next prime is 12640442161. The reversal of 12640442136 is 63124404621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12640442097 and 12640442106.

It is a congruent number.

It is an unprimeable number.

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, 57165 + ... + 168963.

It is an arithmetic number, because the mean of its divisors is an integer number (565149000).

Almost surely, 212640442136 is an apocalyptic number.

It is an amenable number.

12640442136 is an abundant number, since it is smaller than the sum of its proper divisors (23529093864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12640442136 is a wasteful number, since it uses less digits than its factorization.

12640442136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112488 (or 112484 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 12640442136 its reverse (63124404621), we get a palindrome (75764846757).

The spelling of 12640442136 in words is "twelve billion, six hundred forty million, four hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 673 1346 2019 2692 4038 4711 5384 8076 9422 14133 16152 18844 28266 37688 56532 111799 113064 223598 335397 447196 670794 782593 894392 1341588 1565186 2347779 2683176 3130372 4695558 6260744 9391116 18782232 75240727 150481454 225722181 300962908 451444362 526685089 601925816 902888724 1053370178 1580055267 1805777448 2106740356 3160110534 4213480712 6320221068 12640442136