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10661738167 is a prime number
BaseRepresentation
bin10011110110111110…
…10011011010110111
31000112000221102020101
421323133103122313
5133313401110132
64521542014531
7525131164513
oct117337233267
930460842211
1010661738167
114581300763
122096717447
13100bb21212
14731dbb143
154260237e7
hex27b7d36b7

10661738167 has 2 divisors, whose sum is σ = 10661738168. Its totient is φ = 10661738166.

The previous prime is 10661738149. The next prime is 10661738183. The reversal of 10661738167 is 76183716601.

It is a strong prime.

It is an emirp because it is prime and its reverse (76183716601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10661738167 - 211 = 10661736119 is a prime.

It is a super-2 number, since 2×106617381672 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10661738117) 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 as a sum of consecutive naturals, namely, 5330869083 + 5330869084.

It is an arithmetic number, because the mean of its divisors is an integer number (5330869084).

Almost surely, 210661738167 is an apocalyptic number.

10661738167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10661738167 is an equidigital number, since it uses as much as digits as its factorization.

10661738167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 10661738167 in words is "ten billion, six hundred sixty-one million, seven hundred thirty-eight thousand, one hundred sixty-seven".