Search a number
-
+
166072100005153 is a prime number
BaseRepresentation
bin100101110000101010101100…
…100001110010010100100001
3210210000100010012010100112101
4211300222230201302110201
5133231411130100131103
61345112245225330401
746660212311546626
oct4560525441622441
9723010105110471
10166072100005153
1148a08866a64751
1216761a76336a01
1371886bb58bb64
142d01d0abdc34d
15142edb2e84a1d
hex970aac872521

166072100005153 has 2 divisors, whose sum is σ = 166072100005154. Its totient is φ = 166072100005152.

The previous prime is 166072100005151. The next prime is 166072100005157. The reversal of 166072100005153 is 351500001270661.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103744675073169 + 62327424931984 = 10185513^2 + 7894772^2 .

It is a cyclic number.

It is not a de Polignac number, because 166072100005153 - 21 = 166072100005151 is a prime.

Together with 166072100005151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (166072100005151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83036050002576 + 83036050002577.

It is an arithmetic number, because the mean of its divisors is an integer number (83036050002577).

Almost surely, 2166072100005153 is an apocalyptic number.

It is an amenable number.

166072100005153 is a deficient number, since it is larger than the sum of its proper divisors (1).

166072100005153 is an equidigital number, since it uses as much as digits as its factorization.

166072100005153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 166072100005153 in words is "one hundred sixty-six trillion, seventy-two billion, one hundred million, five thousand, one hundred fifty-three".