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960916993 = 1756524529
BaseRepresentation
bin111001010001100…
…110111000000001
32110222010122022021
4321101212320001
53431443320433
6235203441441
732545442161
oct7121467001
92428118267
10960916993
1145345a183
12229986281
13124104b4a
14918965a1
155956122d
hex39466e01

960916993 has 4 divisors (see below), whose sum is σ = 1017441540. Its totient is φ = 904392448.

The previous prime is 960916981. The next prime is 960917029. The reversal of 960916993 is 399619069.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 509269489 + 451647504 = 22567^2 + 21252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-960916993 is a prime.

It is a super-2 number, since 2×9609169932 = 1846722934872324098, which contains 22 as substring.

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 960916993.

It is not an unprimeable number, because it can be changed into a prime (960916903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28262248 + ... + 28262281.

It is an arithmetic number, because the mean of its divisors is an integer number (254360385).

Almost surely, 2960916993 is an apocalyptic number.

It is an amenable number.

960916993 is a deficient number, since it is larger than the sum of its proper divisors (56524547).

960916993 is a wasteful number, since it uses less digits than its factorization.

960916993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56524546.

The product of its (nonzero) digits is 708588, while the sum is 52.

The square root of 960916993 is about 30998.6611485077. The cubic root of 960916993 is about 986.7988268889.

The spelling of 960916993 in words is "nine hundred sixty million, nine hundred sixteen thousand, nine hundred ninety-three".

Divisors: 1 17 56524529 960916993