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9750475000 = 2355755717
BaseRepresentation
bin10010001010010110…
…00111000011111000
3221011112020110011201
421011023013003320
5124432110200000
64251310303544
7463424445550
oct110513070370
927145213151
109750475000
114153986202
121a814b7bb4
13bc50b3046
14686d6c160
153c101e96a
hex2452c70f8

9750475000 has 96 divisors (see below), whose sum is σ = 26116140960. Its totient is φ = 3342960000.

The previous prime is 9750474989. The next prime is 9750475003. The reversal of 9750475000 is 5740579.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9750475003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147142 + ... + 202858.

It is an arithmetic number, because the mean of its divisors is an integer number (272043135).

Almost surely, 29750475000 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 9750475000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13058070480).

9750475000 is an abundant number, since it is smaller than the sum of its proper divisors (16365665960).

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

9750475000 is an equidigital number, since it uses as much as digits as its factorization.

9750475000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55755 (or 55731 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 9750475000 is about 98744.4935173602. The cubic root of 9750475000 is about 2136.3640328133.

The spelling of 9750475000 in words is "nine billion, seven hundred fifty million, four hundred seventy-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 625 700 875 1000 1250 1400 1750 2500 3125 3500 4375 5000 6250 7000 8750 12500 17500 21875 25000 35000 43750 55717 87500 111434 175000 222868 278585 390019 445736 557170 780038 1114340 1392925 1560076 1950095 2228680 2785850 3120152 3900190 5571700 6964625 7800380 9750475 11143400 13929250 15600760 19500950 27858500 34823125 39001900 48752375 55717000 69646250 78003800 97504750 139292500 174115625 195009500 243761875 278585000 348231250 390019000 487523750 696462500 975047500 1218809375 1392925000 1950095000 2437618750 4875237500 9750475000