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12906386936046 = 232717021496447
BaseRepresentation
bin1011101111010000000010…
…0110111101000011101110
31200200211122022000011011200
42323310000212331003232
53142424240023423141
643241040131430330
72501312204602602
oct273640046750356
950624568004150
1012906386936046
114126627a5823a
121545416a553a6
137280b4460996
1432895b337502
15175ad1017ab6
hexbbd009bd0ee

12906386936046 has 12 divisors (see below), whose sum is σ = 27963838361472. Its totient is φ = 4302128978676.

The previous prime is 12906386936033. The next prime is 12906386936059. The reversal of 12906386936046 is 64063968360921.

It is a happy number.

12906386936046 is a `hidden beast` number, since 12 + 9 + 0 + 6 + 3 + 8 + 6 + 9 + 3 + 604 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (12906386936033) and next prime (12906386936059).

It is a super-3 number, since 3×129063869360463 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 358510748206 + ... + 358510748241.

It is an arithmetic number, because the mean of its divisors is an integer number (2330319863456).

Almost surely, 212906386936046 is an apocalyptic number.

12906386936046 is an abundant number, since it is smaller than the sum of its proper divisors (15057451425426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12906386936046 is a wasteful number, since it uses less digits than its factorization.

12906386936046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717021496455 (or 717021496452 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 12906386936046 in words is "twelve trillion, nine hundred six billion, three hundred eighty-six million, nine hundred thirty-six thousand, forty-six".

Divisors: 1 2 3 6 9 18 717021496447 1434042992894 2151064489341 4302128978682 6453193468023 12906386936046