Search a number
-
+
80350138521 = 3219249732
BaseRepresentation
bin100101011010100111…
…1011101000010011001
321200101201221221202100
41022311033131002121
52304024113413041
6100525022154013
75543102623422
oct1126517350231
9250351857670
1080350138521
1131092616364
12136a5122909
137766839083
143c63480649
1521540d36b6
hex12b53dd099

80350138521 has 27 divisors (see below), whose sum is σ = 122515936959. Its totient is φ = 50737251312.

The previous prime is 80350138513. The next prime is 80350138537. The reversal of 80350138521 is 12583105308.

The square root of 80350138521 is 283461.

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

80350138521 is a `hidden beast` number, since 80 + 3 + 50 + 1 + 3 + 8 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52114041225 + 28236097296 = 228285^2 + 168036^2 .

It is not a de Polignac number, because 80350138521 - 23 = 80350138513 is a prime.

It is a super-2 number, since 2×803501385212 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (80350138501) 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 in 26 ways as a sum of consecutive naturals, for example, 16154791 + ... + 16159763.

Almost surely, 280350138521 is an apocalyptic number.

80350138521 is the 283461-st square number.

80350138521 is the 141731-st centered octagonal number.

It is an amenable number.

80350138521 is a deficient number, since it is larger than the sum of its proper divisors (42165798438).

80350138521 is an frugal number, since it uses more digits than its factorization.

80350138521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9990 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Multiplying 80350138521 by its sum of digits (36), we get a square (2892604986756 = 17007662).

The spelling of 80350138521 in words is "eighty billion, three hundred fifty million, one hundred thirty-eight thousand, five hundred twenty-one".

Divisors: 1 3 9 19 57 171 361 1083 3249 4973 14919 44757 94487 283461 850383 1795253 5385759 16157277 24730729 74192187 222576561 469883851 1409651553 4228954659 8927793169 26783379507 80350138521