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11678345037 = 3229376111897
BaseRepresentation
bin10101110000001010…
…10110011101001101
31010010212212101200200
422320011112131031
5142404124020122
65210455244113
7562254203112
oct127005263515
933125771620
1011678345037
114a53137527
12231b079639
131141624248
147cb00c909
154853d55ac
hex2b815674d

11678345037 has 24 divisors (see below), whose sum is σ = 17456507640. Its totient is φ = 7514465280.

The previous prime is 11678345011. The next prime is 11678345047. The reversal of 11678345037 is 73054387611.

11678345037 is a `hidden beast` number, since 1 + 1 + 67 + 83 + 4 + 503 + 7 = 666.

11678345037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5236837956 + 6441507081 = 72366^2 + 80259^2 .

It is not a de Polignac number, because 11678345037 - 218 = 11678082893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11678344983 and 11678345001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11678345047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975673 + ... + 987569.

It is an arithmetic number, because the mean of its divisors is an integer number (727354485).

Almost surely, 211678345037 is an apocalyptic number.

It is an amenable number.

11678345037 is a deficient number, since it is larger than the sum of its proper divisors (5778162603).

11678345037 is a wasteful number, since it uses less digits than its factorization.

11678345037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15693 (or 15690 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 11678345037 in words is "eleven billion, six hundred seventy-eight million, three hundred forty-five thousand, thirty-seven".

Divisors: 1 3 9 29 87 261 3761 11283 11897 33849 35691 107073 109069 327207 345013 981621 1035039 3105117 44744617 134233851 402701553 1297593893 3892781679 11678345037