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166003638973 is a prime number
BaseRepresentation
bin1001101010011010010…
…1101000001010111101
3120212111002010121101221
42122212211220022331
510204433412421343
6204132214033341
714664503435554
oct2324645501275
9525432117357
10166003638973
11644467a9a67
122820a348851
131286700ab13
14806adccd9b
1544b8a935ed
hex26a69682bd

166003638973 has 2 divisors, whose sum is σ = 166003638974. Its totient is φ = 166003638972.

The previous prime is 166003638971. The next prime is 166003639057. The reversal of 166003638973 is 379836300661.

166003638973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164788907364 + 1214731609 = 405942^2 + 34853^2 .

It is a cyclic number.

It is not a de Polignac number, because 166003638973 - 21 = 166003638971 is a prime.

Together with 166003638971, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 166003638973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (166003638971) 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 as a sum of consecutive naturals, namely, 83001819486 + 83001819487.

It is an arithmetic number, because the mean of its divisors is an integer number (83001819487).

Almost surely, 2166003638973 is an apocalyptic number.

It is an amenable number.

166003638973 is a deficient number, since it is larger than the sum of its proper divisors (1).

166003638973 is an equidigital number, since it uses as much as digits as its factorization.

166003638973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2939328, while the sum is 52.

The spelling of 166003638973 in words is "one hundred sixty-six billion, three million, six hundred thirty-eight thousand, nine hundred seventy-three".