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9601696080 = 2432513335689
BaseRepresentation
bin10001111000100111…
…00100000101010000
3220210011021200212100
420330103210011100
5124131013233310
64224433400400
7456640033014
oct107423440520
926704250770
109601696080
1140879a8419
121a3b709100
13ba0320b92
146712c0544
153b2e31ec0
hex23c4e4150

9601696080 has 60 divisors (see below), whose sum is σ = 32245698420. Its totient is φ = 2560452096.

The previous prime is 9601696073. The next prime is 9601696109. The reversal of 9601696080 is 806961069.

It can be written as a sum of positive squares in 2 ways, for example, as 1290821184 + 8310874896 = 35928^2 + 91164^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×96016960802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6667125 + ... + 6668564.

It is an arithmetic number, because the mean of its divisors is an integer number (537428307).

Almost surely, 29601696080 is an apocalyptic number.

9601696080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9601696080 is an abundant number, since it is smaller than the sum of its proper divisors (22644002340).

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

9601696080 is a wasteful number, since it uses less digits than its factorization.

9601696080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335708 (or 13335699 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9601696080 is about 97988.2446010745. The cubic root of 9601696080 is about 2125.4422944633.

The spelling of 9601696080 in words is "nine billion, six hundred one million, six hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 13335689 26671378 40007067 53342756 66678445 80014134 106685512 120021201 133356890 160028268 200035335 213371024 240042402 266713780 320056536 400070670 480084804 533427560 600106005 640113072 800141340 960169608 1066855120 1200212010 1600282680 1920339216 2400424020 3200565360 4800848040 9601696080