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12664115430111 = 3237798910750551
BaseRepresentation
bin1011100001001001100000…
…0110100000001011011111
31122211200021222102110211100
42320102120012200023133
53124442102022230421
642533451520324143
72444644405020525
oct270223006401337
948750258373740
1012664115430111
114042904009a72
121506482773653
1370b2b45b2802
1431ad37116315
1516e651967c26
hexb84981a02df

12664115430111 has 96 divisors (see below), whose sum is σ = 19418762188800. Its totient is φ = 7944344179200.

The previous prime is 12664115430079. The next prime is 12664115430133. The reversal of 12664115430111 is 11103451146621.

12664115430111 is a `hidden beast` number, since 1 + 2 + 6 + 641 + 1 + 5 + 4 + 3 + 0 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 12664115430111 - 25 = 12664115430079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12664115430181) 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 95 ways as a sum of consecutive naturals, for example, 250496286 + ... + 250546836.

It is an arithmetic number, because the mean of its divisors is an integer number (202278772800).

Almost surely, 212664115430111 is an apocalyptic number.

12664115430111 is a deficient number, since it is larger than the sum of its proper divisors (6754646758689).

12664115430111 is a wasteful number, since it uses less digits than its factorization.

12664115430111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50869 (or 50866 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 12664115430111 its reverse (11103451146621), we get a palindrome (23767566576732).

The spelling of 12664115430111 in words is "twelve trillion, six hundred sixty-four billion, one hundred fifteen million, four hundred thirty thousand, one hundred eleven".

Divisors: 1 3 9 37 79 89 107 111 237 267 321 333 711 801 963 2923 3293 3959 7031 8453 8769 9523 9879 11877 21093 25359 26307 28569 29637 35631 50551 63279 76077 85707 151653 260147 312761 352351 454959 752317 780441 938283 1057053 1870387 2256951 2341323 2814849 3171159 3993529 4499039 5408957 5611161 6770853 11980587 13497117 16226871 16833483 27835729 35941761 40491351 48680613 83507187 147760573 166464443 200131409 250521561 355424081 427307603 443281719 481397173 499393329 600394227 1066272243 1281922809 1329845157 1444191519 1498179987 1801182681 3198816729 3845768427 4332574557 13150690997 15810381311 17811695401 38030376667 39452072991 47431143933 53435086203 114091130001 118356218973 142293431799 160305258609 342273390003 1407123936679 4221371810037 12664115430111