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12676688667621 = 32113137519721481
BaseRepresentation
bin1011100001111000010110…
…0001100110001111100101
31122212212202020012010012200
42320132011201212033211
53130143324244330441
642543331304405113
72445601106540616
oct270360541461745
948785666163180
1012676688667621
1140481762aa450
1215089b1476799
1370c539432714
1431b7aad11c0d
1516eb3a6bb7b6
hexb87858663e5

12676688667621 has 96 divisors (see below), whose sum is σ = 21182107155456. Its totient is φ = 7232333184000.

The previous prime is 12676688667607. The next prime is 12676688667631.

12676688667621 is nontrivially palindromic in base 10.

12676688667621 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12676688667621 - 211 = 12676688665573 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12676688667621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12676688667631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 590124201 + ... + 590145681.

It is an arithmetic number, because the mean of its divisors is an integer number (220646949536).

Almost surely, 212676688667621 is an apocalyptic number.

12676688667621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12676688667621 is a deficient number, since it is larger than the sum of its proper divisors (8505418487835).

12676688667621 is a wasteful number, since it uses less digits than its factorization.

12676688667621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26763 (or 26760 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 12676688667621 in words is "twelve trillion, six hundred seventy-six billion, six hundred eighty-eight million, six hundred sixty-seven thousand, six hundred twenty-one".

Divisors: 1 3 9 11 31 33 37 93 99 111 279 333 341 407 1023 1147 1221 3069 3441 3663 5197 10323 12617 15591 21481 37851 46773 57167 64443 113553 161107 171501 192289 193329 236291 483321 514503 576867 665911 708873 794797 1449963 1730601 1772177 1997733 2115179 2126619 2384391 5316531 5960959 5993199 6345537 7153173 7325021 8742767 15949593 17882877 19036611 21975063 24638707 26228301 53648631 65570549 65925189 73916121 78684903 111636757 196711647 221748363 271025777 334910271 590134941 813077331 1004730813 1228004327 2439231993 3460739467 3684012981 4130560009 10382218401 11052038943 12391680027 31146655203 37175040081 38068134137 45436160099 114204402411 128047360279 136308480297 342613207233 384142080837 408925440891 1152426242511 1408520963069 4225562889207 12676688667621