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9712299601 = 13927092
BaseRepresentation
bin10010000101110010…
…11110111001010001
3221001212101221101001
421002321132321101
5124342322041401
64243424142001
7462452120164
oct110271367121
927055357331
109712299601
114134381494
121a70767901
13bba207b54
14681c71adb
153bc9cd601
hex242e5ee51

9712299601 has 9 divisors (see below), whose sum is σ = 9796492251. Its totient is φ = 9628826904.

The previous prime is 9712299577. The next prime is 9712299731. The reversal of 9712299601 is 1069922179.

It is a happy number.

The square root of 9712299601 is 98551.

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

9712299601 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 only one way, i.e., 1296072001 + 8416227600 = 36001^2 + 91740^2 .

It is not a de Polignac number, because 9712299601 - 213 = 9712291409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9712299301) 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 8 ways as a sum of consecutive naturals, for example, 13698235 + ... + 13698943.

It is an arithmetic number, because the mean of its divisors is an integer number (1088499139).

Almost surely, 29712299601 is an apocalyptic number.

9712299601 is the 98551-st square number.

9712299601 is the 49276-th centered octagonal number.

It is an amenable number.

9712299601 is a deficient number, since it is larger than the sum of its proper divisors (84192650).

9712299601 is an frugal number, since it uses more digits than its factorization.

9712299601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 46.

The cubic root of 9712299601 is about 2133.5722638939.

The spelling of 9712299601 in words is "nine billion, seven hundred twelve million, two hundred ninety-nine thousand, six hundred one".

Divisors: 1 139 709 19321 98551 502681 13698589 69872659 9712299601