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9630085689 = 327246732
BaseRepresentation
bin10001111011111111…
…10111001000111001
3220212010201001002100
420331333313020321
5124210300220224
64231330054013
7460433243400
oct107577671071
926763631070
109630085689
1140a1a28a04
121a4911a309
13ba6180b73
14674d90637
153b568dac9
hex23dff7239

9630085689 has 27 divisors (see below), whose sum is σ = 16184627823. Its totient is φ = 5501728512.

The previous prime is 9630085679. The next prime is 9630085697. The reversal of 9630085689 is 9865800369.

The square root of 9630085689 is 98133.

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., 9230405625 + 399680064 = 96075^2 + 19992^2 .

It is not a de Polignac number, because 9630085689 - 211 = 9630083641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9630085649) 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, 2058457 + ... + 2063129.

Almost surely, 29630085689 is an apocalyptic number.

9630085689 is the 98133-rd square number.

9630085689 is the 49067-th centered octagonal number.

It is an amenable number.

9630085689 is a deficient number, since it is larger than the sum of its proper divisors (6554542134).

9630085689 is an frugal number, since it uses more digits than its factorization.

9630085689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9366 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The cubic root of 9630085689 is about 2127.5350185872.

The spelling of 9630085689 in words is "nine billion, six hundred thirty million, eighty-five thousand, six hundred eighty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 4673 14019 32711 42057 98133 228977 294399 686931 2060793 21836929 65510787 152858503 196532361 458575509 1070009521 1375726527 3210028563 9630085689