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9346829041 = 114172472
BaseRepresentation
bin10001011010001110…
…10100101011110001
3220010101201010000101
420231013110223301
5123120242012131
64143250552401
7450423510304
oct105507245361
926111633011
109346829041
113a67050000
12198a298701
13b5c596094
146494d8b3b
1539a88ac61
hex22d1d4af1

9346829041 has 45 divisors (see below), whose sum is σ = 11159138395. Its totient is φ = 7827131840.

The previous prime is 9346829017. The next prime is 9346829057. The reversal of 9346829041 is 1409286439.

The square root of 9346829041 is 96679.

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

9346829041 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., 7276943025 + 2069886016 = 85305^2 + 45496^2 .

It is not a de Polignac number, because 9346829041 - 219 = 9346304753 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9346828982 and 9346829000.

It is not an unprimeable number, because it can be changed into a prime (9346829071) 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 44 ways as a sum of consecutive naturals, for example, 198868680 + ... + 198868726.

Almost surely, 29346829041 is an apocalyptic number.

9346829041 is the 96679-th square number.

9346829041 is the 48340-th centered octagonal number.

It is an amenable number.

9346829041 is a deficient number, since it is larger than the sum of its proper divisors (1812309354).

9346829041 is an frugal number, since it uses more digits than its factorization.

9346829041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The cubic root of 9346829041 is about 2106.4675169453.

The spelling of 9346829041 in words is "nine billion, three hundred forty-six million, eight hundred twenty-nine thousand, forty-one".

Divisors: 1 11 17 47 121 187 289 517 799 1331 2057 2209 3179 5687 8789 13583 14641 22627 24299 34969 37553 62557 96679 149413 248897 267289 384659 413083 638401 688127 1063469 1643543 2940179 4231249 4543913 7022411 11698159 18078973 32341969 49983043 77246521 198868703 549813473 849711731 9346829041