Search a number
-
+
9983470273569 = 32132810172
BaseRepresentation
bin1001000101000111010100…
…1100110000010000100001
31022100102002012122010222100
42101101311030300100201
52302032121342223234
633122202023401013
72050165462111122
oct221216514602041
938312065563870
109983470273569
1131a9a69778991
121152a43bb3169
1357558b70c900
142672b9aa8049
15124a5dbb1399
hex91475330421

9983470273569 has 27 divisors (see below), whose sum is σ = 15615364195353. Its totient is φ = 6143598182592.

The previous prime is 9983470273561. The next prime is 9983470273583. The reversal of 9983470273569 is 9653720743899.

The square root of 9983470273569 is 3159663.

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

9983470273569 is a `hidden beast` number, since 9 + 9 + 8 + 34 + 7 + 0 + 27 + 3 + 569 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 665714023569 + 9317756250000 = 815913^2 + 3052500^2 .

It is not a de Polignac number, because 9983470273569 - 23 = 9983470273561 is a prime.

It is a super-2 number, since 2×99834702735692 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9983470273497 and 9983470273506.

It is not an unprimeable number, because it can be changed into a prime (9983470273561) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123186349 + ... + 123267365.

Almost surely, 29983470273569 is an apocalyptic number.

9983470273569 is the 3159663-rd square number.

9983470273569 is the 1579832-nd centered octagonal number.

It is an amenable number.

9983470273569 is a deficient number, since it is larger than the sum of its proper divisors (5631893921784).

9983470273569 is an frugal number, since it uses more digits than its factorization.

9983470273569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162066 (or 81033 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 9983470273569 in words is "nine trillion, nine hundred eighty-three billion, four hundred seventy million, two hundred seventy-three thousand, five hundred sixty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 81017 243051 729153 1053221 3159663 9478989 13691873 41075619 123226857 6563754289 19691262867 59073788601 85328805757 255986417271 767959251813 1109274474841 3327823424523 9983470273569