Search a number
-
+
9201989329 = 1324721572
BaseRepresentation
bin10001001000111101…
…10011011011010001
3212202022011111021121
420210132303123101
5122321202124304
64121034322241
7444014422141
oct104436633321
925668144247
109201989329
1139a2312865
121949889381
13b38582c00
14634194921
1538ccca554
hex2247b36d1

9201989329 has 27 divisors (see below), whose sum is σ = 10246060017. Its totient is φ = 8260465824.

The previous prime is 9201989311. The next prime is 9201989359. The reversal of 9201989329 is 9239891029.

The square root of 9201989329 is 95927.

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

9201989329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2967307729 + 6234681600 = 54473^2 + 78960^2 .

It is not a de Polignac number, because 9201989329 - 25 = 9201989297 is a prime.

It is a super-2 number, since 2×92019893292 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9201989309) 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, 58611319 + ... + 58611475.

Almost surely, 29201989329 is an apocalyptic number.

9201989329 is the 95927-th square number.

9201989329 is the 47964-th centered octagonal number.

It is an amenable number.

9201989329 is a deficient number, since it is larger than the sum of its proper divisors (1044070688).

9201989329 is an equidigital number, since it uses as much as digits as its factorization.

9201989329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 52.

The cubic root of 9201989329 is about 2095.5301243872.

The spelling of 9201989329 in words is "nine billion, two hundred one million, nine hundred eighty-nine thousand, three hundred twenty-nine".

Divisors: 1 13 47 157 169 611 2041 2209 7379 7943 24649 26533 28717 95927 320437 346813 373321 1158503 1247051 4165681 4508569 15060539 54449641 58611397 195787007 707845333 9201989329