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9456330241 = 313741211953
BaseRepresentation
bin10001100111010010…
…00010011000000001
3220102000202100102101
420303221002120001
5123331310031431
64202201550401
7453223323631
oct106351023001
926360670371
109456330241
114012940966
1219baaa5401
13b791853a7
14659c806c1
153a52ba961
hex233a42601

9456330241 has 32 divisors (see below), whose sum is σ = 10329209856. Its totient is φ = 8636544000.

The previous prime is 9456330203. The next prime is 9456330253. The reversal of 9456330241 is 1420336549.

It is a 3-Lehmer number, since φ(9456330241) divides (9456330241-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 9456330241 - 27 = 9456330113 is a prime.

It is a super-2 number, since 2×94563302412 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R9456330240.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9456330241.

It is not an unprimeable number, because it can be changed into a prime (9456330841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9922221 + ... + 9923173.

It is an arithmetic number, because the mean of its divisors is an integer number (322787808).

It is a Poulet number, since it divides 29456330240-1.

Almost surely, 29456330241 is an apocalyptic number.

It is an amenable number.

9456330241 is a deficient number, since it is larger than the sum of its proper divisors (872879615).

9456330241 is a wasteful number, since it uses less digits than its factorization.

9456330241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273.

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 9456330241 is about 97243.6642717663. The cubic root of 9456330241 is about 2114.6615893752.

The spelling of 9456330241 in words is "nine billion, four hundred fifty-six million, three hundred thirty thousand, two hundred forty-one".