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12664175517 = 3271742128087
BaseRepresentation
bin10111100101101011…
…11111101110011101
31012200120212202212200
423302311333232131
5201414012104032
65452353122113
7625554500340
oct136265775635
935616782780
1012664175517
115409662564
122555259339
13126a93caa6
14881d0c457
154e1c1847c
hex2f2d7fb9d

12664175517 has 48 divisors (see below), whose sum is σ = 22189070592. Its totient is φ = 6794565120.

The previous prime is 12664175509. The next prime is 12664175539. The reversal of 12664175517 is 71557146621.

12664175517 is a `hidden beast` number, since 1 + 2 + 6 + 64 + 1 + 75 + 517 = 666.

It is not a de Polignac number, because 12664175517 - 23 = 12664175509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12664125517) 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, 436848 + ... + 464934.

It is an arithmetic number, because the mean of its divisors is an integer number (462272304).

Almost surely, 212664175517 is an apocalyptic number.

12664175517 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12664175517 is a deficient number, since it is larger than the sum of its proper divisors (9524895075).

12664175517 is a wasteful number, since it uses less digits than its factorization.

12664175517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28538 (or 28535 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 12664175517 in words is "twelve billion, six hundred sixty-four million, one hundred seventy-five thousand, five hundred seventeen".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 421 1071 1263 2947 3789 7157 8841 21471 26523 28087 50099 64413 84261 150297 196609 252783 450891 477479 589827 1432437 1769481 3342353 4297311 10027059 11824627 30081177 35473881 82772389 106421643 201018659 248317167 603055977 744951501 1407130613 1809167931 4221391839 12664175517