Search a number
-
+
70033800321 = 3217251892
BaseRepresentation
bin100000100111001010…
…1101111110010000001
320200202202221200012100
41001032111233302001
52121412123102241
652101215221013
75026334323602
oct1011625576201
9220682850170
1070033800321
1127779288821
12116a6217769
1367b1450344
1435652d3da9
151c4d58a9b6
hex104e56fc81

70033800321 has 27 divisors (see below), whose sum is σ = 107481265801. Its totient is φ = 43934308224.

The previous prime is 70033800313. The next prime is 70033800349. The reversal of 70033800321 is 12300833007.

The square root of 70033800321 is 264639.

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

70033800321 is a `hidden beast` number, since 7 + 0 + 0 + 338 + 0 + 0 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22612640625 + 47421159696 = 150375^2 + 217764^2 .

It is not a de Polignac number, because 70033800321 - 23 = 70033800313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (70033800301) 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 26 ways as a sum of consecutive naturals, for example, 13493995 + ... + 13499183.

Almost surely, 270033800321 is an apocalyptic number.

70033800321 is the 264639-th square number.

70033800321 is the 132320-th centered octagonal number.

It is an amenable number.

70033800321 is a deficient number, since it is larger than the sum of its proper divisors (37447465480).

70033800321 is an frugal number, since it uses more digits than its factorization.

70033800321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10418 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 70033800321 in words is "seventy billion, thirty-three million, eight hundred thousand, three hundred twenty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 5189 15567 46701 88213 264639 793917 1499621 4498863 13496589 26925721 80777163 242331489 457737257 1373211771 4119635313 7781533369 23344600107 70033800321