Search a number
-
+
156185411209 = 211218732
BaseRepresentation
bin1001000101110101100…
…0000011111010001001
3112221010211101221220121
42101131120003322021
510024331431124314
6155430043223241
714166264043042
oct2213530037211
9487124357817
10156185411209
1160268658143
122632a217b21
1311960b950a9
1477b90658c9
1540e1b3dd24
hex245d603e89

156185411209 has 9 divisors (see below), whose sum is σ = 157012964199. Its totient is φ = 155362203360.

The previous prime is 156185411191. The next prime is 156185411237. The reversal of 156185411209 is 902114581651.

The square root of 156185411209 is 395203.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4141566025 + 152043845184 = 64355^2 + 389928^2 .

It is not a de Polignac number, because 156185411209 - 211 = 156185409161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (156185418209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83386897 + ... + 83388769.

It is an arithmetic number, because the mean of its divisors is an integer number (17445884911).

Almost surely, 2156185411209 is an apocalyptic number.

156185411209 is the 395203-rd square number.

156185411209 is the 197602-nd centered octagonal number.

It is an amenable number.

156185411209 is a deficient number, since it is larger than the sum of its proper divisors (827552990).

156185411209 is an frugal number, since it uses more digits than its factorization.

156185411209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 43.

The spelling of 156185411209 in words is "one hundred fifty-six billion, one hundred eighty-five million, four hundred eleven thousand, two hundred nine".

Divisors: 1 211 1873 44521 395203 3508129 83387833 740215219 156185411209