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13935816966 = 2310612189101
BaseRepresentation
bin11001111101010001…
…11011000100000110
31022222012200212000010
430332220323010012
5212020032120331
610222500531050
71002225326661
oct147650730406
938865625003
1013935816966
115a01450605
12284b0b0a86
131411228c56
14962b6a6d8
155686a5e46
hex33ea3b106

13935816966 has 16 divisors (see below), whose sum is σ = 27897915888. Its totient is φ = 4640892000.

The previous prime is 13935816949. The next prime is 13935816967. The reversal of 13935816966 is 66961853931.

It is a happy number.

13935816966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13935816967) 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 7 ways as a sum of consecutive naturals, for example, 1088185 + ... + 1100916.

It is an arithmetic number, because the mean of its divisors is an integer number (1743619743).

Almost surely, 213935816966 is an apocalyptic number.

13935816966 is an abundant number, since it is smaller than the sum of its proper divisors (13962098922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13935816966 is a wasteful number, since it uses less digits than its factorization.

13935816966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190167.

The product of its digits is 6298560, while the sum is 57.

The spelling of 13935816966 in words is "thirteen billion, nine hundred thirty-five million, eight hundred sixteen thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 1061 2122 3183 6366 2189101 4378202 6567303 13134606 2322636161 4645272322 6967908483 13935816966