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9617921041 = 10129712
BaseRepresentation
bin10001111010100010…
…11101010000010001
3220211021211000022211
420331101131100101
5124144141433131
64230213232121
7460224660061
oct107521352021
926737730284
109617921041
11409607a483
121a45032641
13ba37b1c51
146735053a1
153b45895b1
hex23d45d411

9617921041 has 9 divisors (see below), whose sum is σ = 9724105339. Its totient is φ = 9512887000.

The previous prime is 9617920997. The next prime is 9617921051. The reversal of 9617921041 is 1401297169.

The square root of 9617921041 is 98071.

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., 9240784641 + 377136400 = 96129^2 + 19420^2 .

It is not a de Polignac number, because 9617921041 - 27 = 9617920913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9617920985 and 9617921003.

It is not an unprimeable number, because it can be changed into a prime (9617921051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9904686 + ... + 9905656.

Almost surely, 29617921041 is an apocalyptic number.

9617921041 is the 98071-st square number.

9617921041 is the 49036-th centered octagonal number.

It is an amenable number.

9617921041 is a deficient number, since it is larger than the sum of its proper divisors (106184298).

9617921041 is an frugal number, since it uses more digits than its factorization.

9617921041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The cubic root of 9617921041 is about 2126.6388126573.

The spelling of 9617921041 in words is "nine billion, six hundred seventeen million, nine hundred twenty-one thousand, forty-one".

Divisors: 1 101 971 10201 98071 942841 9905171 95226941 9617921041