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9181328041 = 73137918041
BaseRepresentation
bin10001000110011111…
…11111001010101001
3212200212021210022201
420203033333022221
5122300404444131
64115015420201
7443344000144
oct104317771251
925625253281
109181328041
113991690716
121942984661
13b341ca7b2
1463153705b
1538b098761
hex2233ff2a9

9181328041 has 8 divisors (see below), whose sum is σ = 9375044904. Its totient is φ = 8989447680.

The previous prime is 9181328017. The next prime is 9181328059. The reversal of 9181328041 is 1408231819.

It can be written as a sum of positive squares in 4 ways, for example, as 1784640025 + 7396688016 = 42245^2 + 86004^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9181328041 - 221 = 9179230889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9181328081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449020 + ... + 469021.

It is an arithmetic number, because the mean of its divisors is an integer number (1171880613).

Almost surely, 29181328041 is an apocalyptic number.

It is an amenable number.

9181328041 is a deficient number, since it is larger than the sum of its proper divisors (193716863).

9181328041 is a wasteful number, since it uses less digits than its factorization.

9181328041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918251.

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 9181328041 is about 95819.2467148433. The cubic root of 9181328041 is about 2093.9605798437.

The spelling of 9181328041 in words is "nine billion, one hundred eighty-one million, three hundred twenty-eight thousand, forty-one".

Divisors: 1 73 137 10001 918041 67016993 125771617 9181328041