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12345740667 = 3213105519151
BaseRepresentation
bin10110111111101110…
…10000110101111011
31011212101200121101100
423133313100311323
5200241002200132
65401020022443
7614640031011
oct133767206573
934771617340
1012345740667
115265937767
122486691a23
1312199890c0
148518da8b1
154c3cb737c
hex2dfdd0d7b

12345740667 has 12 divisors (see below), whose sum is σ = 19204485664. Its totient is φ = 7597378800.

The previous prime is 12345740657. The next prime is 12345740677. The reversal of 12345740667 is 76604754321.

12345740667 is a `hidden beast` number, since 1 + 234 + 5 + 7 + 406 + 6 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (12345740657) and next prime (12345740677).

It is not a de Polignac number, because 12345740667 - 211 = 12345738619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12345740657) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 52759459 + ... + 52759692.

Almost surely, 212345740667 is an apocalyptic number.

12345740667 is a deficient number, since it is larger than the sum of its proper divisors (6858744997).

12345740667 is a wasteful number, since it uses less digits than its factorization.

12345740667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105519170 (or 105519167 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 12345740667 in words is "twelve billion, three hundred forty-five million, seven hundred forty thousand, six hundred sixty-seven".

Divisors: 1 3 9 13 39 117 105519151 316557453 949672359 1371748963 4115246889 12345740667