Search a number
-
+
162031933969 is a prime number
BaseRepresentation
bin1001011011100111011…
…0110001101000010001
3120111020021200002101121
42112321312301220101
510123320133341334
6202234134402241
714464205466643
oct2267166615021
9514207602347
10162031933969
1162798891234
12274a0200381
1312383215309
147bb1722893
15433505bdb4
hex25b9db1a11

162031933969 has 2 divisors, whose sum is σ = 162031933970. Its totient is φ = 162031933968.

The previous prime is 162031933963. The next prime is 162031933997. The reversal of 162031933969 is 969339130261.

162031933969 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., 118740889744 + 43291044225 = 344588^2 + 208065^2 .

It is an emirp because it is prime and its reverse (969339130261) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 162031933969 - 27 = 162031933841 is a prime.

It is a super-2 number, since 2×1620319339692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (162031933963) 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, 81015966984 + 81015966985.

It is an arithmetic number, because the mean of its divisors is an integer number (81015966985).

Almost surely, 2162031933969 is an apocalyptic number.

It is an amenable number.

162031933969 is a deficient number, since it is larger than the sum of its proper divisors (1).

162031933969 is an equidigital number, since it uses as much as digits as its factorization.

162031933969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1417176, while the sum is 52.

The spelling of 162031933969 in words is "one hundred sixty-two billion, thirty-one million, nine hundred thirty-three thousand, nine hundred sixty-nine".