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12640214601 = 3272961911177
BaseRepresentation
bin10111100010110101…
…00101111001001001
31012121220210102200100
423301122211321021
5201341343331401
65450135400013
7625144023420
oct136132457111
935556712610
1012640214601
1153a7087353
122549223009
1312659a0831
1487ca722b7
154dea83b86
hex2f16a5e49

12640214601 has 48 divisors (see below), whose sum is σ = 21622723200. Its totient is φ = 6962022144.

The previous prime is 12640214591. The next prime is 12640214621. The reversal of 12640214601 is 10641204621.

12640214601 is a `hidden beast` number, since 1 + 2 + 6 + 40 + 2 + 14 + 601 = 666.

It is not a de Polignac number, because 12640214601 - 27 = 12640214473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12640214621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125325 + ... + 1136501.

It is an arithmetic number, because the mean of its divisors is an integer number (450473400).

Almost surely, 212640214601 is an apocalyptic number.

It is an amenable number.

12640214601 is a deficient number, since it is larger than the sum of its proper divisors (8982508599).

12640214601 is a wasteful number, since it uses less digits than its factorization.

12640214601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11838 (or 11835 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12640214601 in words is "twelve billion, six hundred forty million, two hundred fourteen thousand, six hundred one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 619 1827 1857 4333 5571 11177 12999 17951 33531 38997 53853 78239 100593 125657 161559 234717 324133 376971 704151 972399 1130913 2268931 2917197 6806793 6918563 20420379 20755689 48429941 62267067 145289823 200638327 435869469 601914981 1404468289 1805744943 4213404867 12640214601