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12666938036157 = 33832349195131
BaseRepresentation
bin1011100001010100000001…
…0101111000111110111101
31122211221120200122201102000
42320111000111320332331
53130013342114124112
642535035550452513
72445104350540626
oct270250025707675
948757520581360
1012666938036157
114044022327739
121506b2bb04139
1370b6442c63c2
1431b123d42a4d
1516e76966a7dc
hexb8540578fbd

12666938036157 has 48 divisors (see below), whose sum is σ = 19049176104000. Its totient is φ = 8318935141920.

The previous prime is 12666938036117. The next prime is 12666938036167. The reversal of 12666938036157 is 75163083966621.

It is not a de Polignac number, because 12666938036157 - 27 = 12666938036029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12666938036094 and 12666938036103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12666938036117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64817482 + ... + 65012612.

It is an arithmetic number, because the mean of its divisors is an integer number (396857835500).

Almost surely, 212666938036157 is an apocalyptic number.

It is an amenable number.

12666938036157 is a deficient number, since it is larger than the sum of its proper divisors (6382238067843).

12666938036157 is an equidigital number, since it uses as much as digits as its factorization.

12666938036157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195655 (or 195566 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 12666938036157 in words is "twelve trillion, six hundred sixty-six billion, nine hundred thirty-eight million, thirty-six thousand, one hundred fifty-seven".

Divisors: 1 3 9 27 83 249 349 747 1047 2241 3141 6889 9423 20667 28967 62001 86901 186003 195131 260703 585393 782109 1756179 2404261 5268537 7212783 16195873 21638349 48587619 64915047 68100719 145762857 204302157 437288571 612906471 1344257459 1838719413 4032772377 5652359677 12098317131 16957079031 36294951393 50871237093 152613711279 469145853191 1407437559573 4222312678719 12666938036157