Search a number
-
+
165075626526989 is a prime number
BaseRepresentation
bin100101100010001010101010…
…000101001000100100001101
3210122111002001020110210120012
4211202022222011020210031
5133114044340342330424
61343030410152403005
746525214625001433
oct4542125205104415
9718432036423505
10165075626526989
11486641a8730912
12166209193a6465
137115745ab7739
142ca99bac98d53
151413ee1118b0e
hex9622aa14890d

165075626526989 has 2 divisors, whose sum is σ = 165075626526990. Its totient is φ = 165075626526988.

The previous prime is 165075626526977. The next prime is 165075626526991. The reversal of 165075626526989 is 989625626570561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138983114592100 + 26092511934889 = 11789110^2 + 5108083^2 .

It is an emirp because it is prime and its reverse (989625626570561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165075626526989 - 224 = 165075609749773 is a prime.

It is a super-2 number, since 2×1650756265269892 (a number of 29 digits) contains 22 as substring.

Together with 165075626526991, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165075626526959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82537813263494 + 82537813263495.

It is an arithmetic number, because the mean of its divisors is an integer number (82537813263495).

Almost surely, 2165075626526989 is an apocalyptic number.

It is an amenable number.

165075626526989 is a deficient number, since it is larger than the sum of its proper divisors (1).

165075626526989 is an equidigital number, since it uses as much as digits as its factorization.

165075626526989 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2939328000, while the sum is 77.

The spelling of 165075626526989 in words is "one hundred sixty-five trillion, seventy-five billion, six hundred twenty-six million, five hundred twenty-six thousand, nine hundred eighty-nine".