Search a number
-
+
167628106487713 is a prime number
BaseRepresentation
bin100110000111010011110101…
…101111011101011110100001
3210222112002102221211120221211
4212013103311233131132201
5133432404330230101323
61352303142232350121
750210505513456124
oct4607236557353641
9728462387746854
10167628106487713
1149458754069363
1216973549845341
13726c354c70771
142d5735a7b43bb
15145a5d218c70d
hex9874f5bdd7a1

167628106487713 has 2 divisors, whose sum is σ = 167628106487714. Its totient is φ = 167628106487712.

The previous prime is 167628106487609. The next prime is 167628106487729. The reversal of 167628106487713 is 317784601826761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167343795716449 + 284310771264 = 12936143^2 + 533208^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-167628106487713 is a prime.

It is a super-2 number, since 2×1676281064877132 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (167628106487753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83814053243856 + 83814053243857.

It is an arithmetic number, because the mean of its divisors is an integer number (83814053243857).

Almost surely, 2167628106487713 is an apocalyptic number.

It is an amenable number.

167628106487713 is a deficient number, since it is larger than the sum of its proper divisors (1).

167628106487713 is an equidigital number, since it uses as much as digits as its factorization.

167628106487713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113799168, while the sum is 67.

The spelling of 167628106487713 in words is "one hundred sixty-seven trillion, six hundred twenty-eight billion, one hundred six million, four hundred eighty-seven thousand, seven hundred thirteen".