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67085313561 = 3371621218969
BaseRepresentation
bin111110011110100110…
…001010011000011001
320102011021212000202000
4332132212022120121
52044342320013221
650452451031213
74563302520360
oct763646123031
9212137760660
1067085313561
11264a5a02002
121100289b509
136431633c16
14336589a7d7
151b297bee26
hexf9e98a619

67085313561 has 32 divisors (see below), whose sum is σ = 113654188800. Its totient is φ = 38310641280.

The previous prime is 67085313557. The next prime is 67085313569. The reversal of 67085313561 is 16531358076.

67085313561 is a `hidden beast` number, since 6 + 7 + 0 + 85 + 3 + 1 + 3 + 561 = 666.

It is not a de Polignac number, because 67085313561 - 22 = 67085313557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67085313569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196885 + ... + 415853.

It is an arithmetic number, because the mean of its divisors is an integer number (3551693400).

Almost surely, 267085313561 is an apocalyptic number.

It is an amenable number.

67085313561 is a deficient number, since it is larger than the sum of its proper divisors (46568875239).

67085313561 is a wasteful number, since it uses less digits than its factorization.

67085313561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220606 (or 220600 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 67085313561 in words is "sixty-seven billion, eighty-five million, three hundred thirteen thousand, five hundred sixty-one".

Divisors: 1 3 7 9 21 27 63 189 1621 4863 11347 14589 34041 43767 102123 218969 306369 656907 1532783 1970721 4598349 5912163 13795047 41385141 354948749 1064846247 2484641243 3194538741 7453923729 9583616223 22361771187 67085313561