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12606933279213 = 3272132199011561
BaseRepresentation
bin1011011101110100011111…
…0001111010000111101101
31122122012200212010020100200
42313131013301322013231
53123022444404413323
642451313432344113
72440551362531400
oct267350761720755
948565625106320
1012606933279213
1140206301a0719
1214b7384545039
13705aa0891c70
143182709b1d37
1516ce067c8443
hexb7747c7a1ed

12606933279213 has 36 divisors (see below), whose sum is σ = 22812545944188. Its totient is φ = 6649810957440.

The previous prime is 12606933279113. The next prime is 12606933279323. The reversal of 12606933279213 is 31297233960621.

12606933279213 is a `hidden beast` number, since 1 + 2 + 606 + 9 + 3 + 3 + 2 + 7 + 9 + 21 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8134799552649 + 4472133726564 = 2852157^2 + 2114742^2 .

It is not a de Polignac number, because 12606933279213 - 28 = 12606933278957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12606933279213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12606933279113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1099500048 + ... + 1099511513.

It is an arithmetic number, because the mean of its divisors is an integer number (633681831783).

Almost surely, 212606933279213 is an apocalyptic number.

12606933279213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12606933279213 is a deficient number, since it is larger than the sum of its proper divisors (10205612664975).

12606933279213 is a wasteful number, since it uses less digits than its factorization.

12606933279213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199011594 (or 2199011584 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 12606933279213 in words is "twelve trillion, six hundred six billion, nine hundred thirty-three million, two hundred seventy-nine thousand, two hundred thirteen".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 2199011561 6597034683 15393080927 19791104049 28587150293 46179242781 85761450879 107751566489 138537728343 200110052051 257284352637 323254699467 600330156153 969764098401 1400770364357 1800990468459 4202311093071 12606933279213