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9655009056 = 25337111031409
BaseRepresentation
bin10001111110111101…
…11011111100100000
3220220212121021112000
420333132323330200
5124233140242211
64234020204000
7461155136310
oct107736737440
926825537460
109655009056
114105001230
121a55539600
13bab399214
146783db440
153b7963656
hex23f7bbf20

9655009056 has 384 divisors, whose sum is σ = 35475148800. Its totient is φ = 2481684480.

The previous prime is 9655009033. The next prime is 9655009123. The reversal of 9655009056 is 6509005569.

9655009056 is a `hidden beast` number, since 9 + 6 + 5 + 500 + 90 + 56 = 666.

It is a super-2 number, since 2×96550090562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6851680 + ... + 6853088.

It is an arithmetic number, because the mean of its divisors is an integer number (92383200).

Almost surely, 29655009056 is an apocalyptic number.

9655009056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9655009056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17737574400).

9655009056 is an abundant number, since it is smaller than the sum of its proper divisors (25820139744).

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

9655009056 is a wasteful number, since it uses less digits than its factorization.

9655009056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 9655009056 is about 98259.9056380577. The cubic root of 9655009056 is about 2129.3688429497.

The spelling of 9655009056 in words is "nine billion, six hundred fifty-five million, nine thousand, fifty-six".