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9029069435281 = 72197221792
BaseRepresentation
bin1000001101100011111001…
…1110011111000110010001
31011222011121101002010220111
42003120332132133012101
52140413013233412111
631111521445241321
71621220520615400
oct203307636370621
934864541063814
109029069435281
112971230344105
121019a89103241
1350658c51937c
1423301b6d9637
15109d0078ca21
hex8363e79f191

9029069435281 has 27 divisors (see below), whose sum is σ = 10561636621179. Its totient is φ = 7696383388848.

The previous prime is 9029069435231. The next prime is 9029069435293. The reversal of 9029069435281 is 1825349609209.

The square root of 9029069435281 is 3004841.

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., 8846668692225 + 182400743056 = 2974335^2 + 427084^2 .

It is not a de Polignac number, because 9029069435281 - 227 = 9028935217553 is a prime.

It is a super-2 number, since 2×90290694352812 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9029069435231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4143674650 + ... + 4143676828.

Almost surely, 29029069435281 is an apocalyptic number.

9029069435281 is the 3004841-st square number.

9029069435281 is the 1502421-st centered octagonal number.

It is an amenable number.

9029069435281 is a deficient number, since it is larger than the sum of its proper divisors (1532567185898).

9029069435281 is an frugal number, since it uses more digits than its factorization.

9029069435281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 58.

The spelling of 9029069435281 in words is "nine trillion, twenty-nine billion, sixty-nine million, four hundred thirty-five thousand, two hundred eighty-one".

Divisors: 1 7 49 197 1379 2179 9653 15253 38809 106771 271663 429263 1901641 3004841 4748041 21033887 33236287 84564811 232654009 591953677 935364077 4143675739 6547548539 45832839773 184266723169 1289867062183 9029069435281