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9609076900 = 225296090769
BaseRepresentation
bin10001111001011111…
…01110000010100100
3220210200011200110001
420330233232002210
5124134410430100
64225255511044
7460056543313
oct107457560244
926720150401
109609076900
114091089775
121a42088484
13ba1a06527
1467228227a
153b38ddd6a
hex23cbee0a4

9609076900 has 18 divisors (see below), whose sum is σ = 20851697090. Its totient is φ = 3843630720.

The previous prime is 9609076879. The next prime is 9609076909. The reversal of 9609076900 is 96709069.

9609076900 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 3 ways, for example, as 148791204 + 9460285696 = 12198^2 + 97264^2 .

It is a super-2 number, since 2×96090769002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9609076909) 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 5 ways as a sum of consecutive naturals, for example, 48045285 + ... + 48045484.

Almost surely, 29609076900 is an apocalyptic number.

It is an amenable number.

9609076900 is an abundant number, since it is smaller than the sum of its proper divisors (11242620190).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9609076900 is a wasteful number, since it uses less digits than its factorization.

9609076900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96090783 (or 96090776 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 46.

The square root of 9609076900 is about 98025.8991287507. The cubic root of 9609076900 is about 2125.9867638613.

The spelling of 9609076900 in words is "nine billion, six hundred nine million, seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 96090769 192181538 384363076 480453845 960907690 1921815380 2402269225 4804538450 9609076900