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12640804629435 = 325416851384623
BaseRepresentation
bin1011011111110010101010…
…1010110110101110111011
31122202110010102001002212100
42313330222222312232323
53124101331441120220
642515034441114443
72443160631335523
oct267745252665673
948673112032770
1012640804629435
114033a31739444
121501a57a88a23
1370903b013728
14319b65242683
1516dc3a213d90
hexb7f2aab6bbb

12640804629435 has 24 divisors (see below), whose sum is σ = 22445136028224. Its totient is φ = 6577329237120.

The previous prime is 12640804629413. The next prime is 12640804629437. The reversal of 12640804629435 is 53492640804621.

12640804629435 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 0 + 8 + 0 + 4 + 629 + 4 + 3 + 5 = 666.

It is not a de Polignac number, because 12640804629435 - 28 = 12640804629179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12640804629437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3425690467 + ... + 3425694156.

It is an arithmetic number, because the mean of its divisors is an integer number (935214001176).

Almost surely, 212640804629435 is an apocalyptic number.

12640804629435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12640804629435 is a deficient number, since it is larger than the sum of its proper divisors (9804331398789).

12640804629435 is a wasteful number, since it uses less digits than its factorization.

12640804629435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6851384675 (or 6851384672 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 12640804629435 in words is "twelve trillion, six hundred forty billion, eight hundred four million, six hundred twenty-nine thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 6851384623 20554153869 34256923115 61662461607 102770769345 280906769543 308312308035 842720308629 1404533847715 2528160925887 4213601543145 12640804629435