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9696068800 = 265211329157
BaseRepresentation
bin10010000011110111…
…00100010011000000
3221000201212022220021
421001323210103000
5124324143200200
64242044223224
7462164140105
oct110173442300
927021768807
109696068800
1141261a6000
121a6723ab14
13bb6a44222
1467da48aac
153bb37441a
hex241ee44c0

9696068800 has 336 divisors, whose sum is σ = 27320260320. Its totient is φ = 3382579200.

The previous prime is 9696068797. The next prime is 9696068819. The reversal of 9696068800 is 88606969.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 61758322 + ... + 61758478.

Almost surely, 29696068800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9696068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13660130160).

9696068800 is an abundant number, since it is smaller than the sum of its proper divisors (17624191520).

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

9696068800 is a wasteful number, since it uses less digits than its factorization.

9696068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The square root of 9696068800 is about 98468.6183512290. The cubic root of 9696068800 is about 2132.3830880822.

The spelling of 9696068800 in words is "nine billion, six hundred ninety-six million, sixty-eight thousand, eight hundred".