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12014632510641 = 334310348520681
BaseRepresentation
bin1010111011010101111111…
…1001110010010010110001
31120112120212101201122212000
42232311133321302102301
53033321431410320031
641315240155324213
72350012536213255
oct256653771622261
946476771648760
1012014632510641
113912416916702
121420624150669
13691c8a06acc7
142d77230a2265
1515c7dc8443e6
hexaed5fe724b1

12014632510641 has 16 divisors (see below), whose sum is σ = 18213396400320. Its totient is φ = 7823481634080.

The previous prime is 12014632510537. The next prime is 12014632510663. The reversal of 12014632510641 is 14601523641021.

12014632510641 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 4 + 6 + 3 + 2 + 5 + 1 + 0 + 641 = 666.

It is not a de Polignac number, because 12014632510641 - 219 = 12014631986353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12014632510596 and 12014632510605.

It is not an unprimeable number, because it can be changed into a prime (12014632510241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5174259180 + ... + 5174261501.

It is an arithmetic number, because the mean of its divisors is an integer number (1138337275020).

Almost surely, 212014632510641 is an apocalyptic number.

It is an amenable number.

12014632510641 is a deficient number, since it is larger than the sum of its proper divisors (6198763889679).

12014632510641 is a wasteful number, since it uses less digits than its factorization.

12014632510641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10348520733 (or 10348520727 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12014632510641 in words is "twelve trillion, fourteen billion, six hundred thirty-two million, five hundred ten thousand, six hundred forty-one".

Divisors: 1 3 9 27 43 129 387 1161 10348520681 31045562043 93136686129 279410058387 444986389283 1334959167849 4004877503547 12014632510641