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9968160464 = 24902969001
BaseRepresentation
bin10010100100010011…
…00000111011010000
3221201200212000111022
421102021200323100
5130403322113324
64325044135012
7502006652213
oct112211407320
927650760438
109968160464
114255848549
121b22397468
13c2b220102
146a7c3577a
153d51be05e
hex252260ed0

9968160464 has 20 divisors (see below), whose sum is σ = 19315729860. Its totient is φ = 4983456000.

The previous prime is 9968160457. The next prime is 9968160469. The reversal of 9968160464 is 4640618699.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5284126864 + 4684033600 = 72692^2 + 68440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968160469) 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, 109964 + ... + 178964.

It is an arithmetic number, because the mean of its divisors is an integer number (965786493).

Almost surely, 29968160464 is an apocalyptic number.

It is an amenable number.

9968160464 is a deficient number, since it is larger than the sum of its proper divisors (9347569396).

9968160464 is a wasteful number, since it uses less digits than its factorization.

9968160464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78038 (or 78032 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The square root of 9968160464 is about 99840.6753983566. The cubic root of 9968160464 is about 2152.1457189553.

The spelling of 9968160464 in words is "nine billion, nine hundred sixty-eight million, one hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 9029 18058 36116 69001 72232 138002 144464 276004 552008 1104016 623010029 1246020058 2492040116 4984080232 9968160464