Search a number
-
+
165461902337 is a prime number
BaseRepresentation
bin1001101000011001001…
…1000100010000000001
3120211002022202112110002
42122012103010100001
510202331221333322
6204002342445345
714645204651504
oct2320623042001
9524068675402
10165461902337
1164198a26236
1228098a33855
13127aba018b4
14801909113b
154486233c92
hex26864c4401

165461902337 has 2 divisors, whose sum is σ = 165461902338. Its totient is φ = 165461902336.

The previous prime is 165461902297. The next prime is 165461902369. The reversal of 165461902337 is 733209164561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83404862401 + 82057039936 = 288799^2 + 286456^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-165461902337 is a prime.

It is a super-2 number, since 2×1654619023372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 165461902291 and 165461902300.

It is not a weakly prime, because it can be changed into another prime (165461902637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82730951168 + 82730951169.

It is an arithmetic number, because the mean of its divisors is an integer number (82730951169).

Almost surely, 2165461902337 is an apocalyptic number.

It is an amenable number.

165461902337 is a deficient number, since it is larger than the sum of its proper divisors (1).

165461902337 is an equidigital number, since it uses as much as digits as its factorization.

165461902337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 816480, while the sum is 47.

The spelling of 165461902337 in words is "one hundred sixty-five billion, four hundred sixty-one million, nine hundred two thousand, three hundred thirty-seven".