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9632448001 = 1123193197269
BaseRepresentation
bin10001111100010001…
…10111111000000001
3220212022011001120101
420332020313320001
5124211401314001
64231452442401
7460462312531
oct107610677001
926768131511
109632448001
1140a32a1830
121a49a79401
13ba67ca197
146754074c1
153b59a8a01
hex23e237e01

9632448001 has 16 divisors (see below), whose sum is σ = 11021869440. Its totient is φ = 8332600320.

The previous prime is 9632447989. The next prime is 9632448011. The reversal of 9632448001 is 1008442369.

9632448001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9632448001 - 229 = 9095577089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9632448011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49806 + ... + 147463.

It is an arithmetic number, because the mean of its divisors is an integer number (688866840).

Almost surely, 29632448001 is an apocalyptic number.

It is an amenable number.

9632448001 is a deficient number, since it is larger than the sum of its proper divisors (1389421439).

9632448001 is a wasteful number, since it uses less digits than its factorization.

9632448001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197496.

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 9632448001 is about 98145.0355392467. The cubic root of 9632448001 is about 2127.7089696389.

The spelling of 9632448001 in words is "nine billion, six hundred thirty-two million, four hundred forty-eight thousand, one".

Divisors: 1 11 23 193 253 2123 4439 48829 197269 2169959 4537187 38072917 49909057 418802087 875677091 9632448001