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9485140000 = 2554767751
BaseRepresentation
bin10001101010101101…
…11100000000100000
3220111000222000222111
420311112330000200
5123411143440000
64205111245104
7454023234250
oct106526740040
926430860874
109485140000
114028129086
121a08679794
13b8213169b
1465da1d960
153a7aabcba
hex2355bc020

9485140000 has 120 divisors (see below), whose sum is σ = 26668813248. Its totient is φ = 3252000000.

The previous prime is 9485139971. The next prime is 9485140051. The reversal of 9485140000 is 415849.

It is a happy 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 19 ways as a sum of consecutive naturals, for example, 106125 + ... + 173875.

Almost surely, 29485140000 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 9485140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13334406624).

9485140000 is an abundant number, since it is smaller than the sum of its proper divisors (17183673248).

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

9485140000 is an equidigital number, since it uses as much as digits as its factorization.

9485140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67788 (or 67765 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 9485140000 is about 97391.6834231753. The cubic root of 9485140000 is about 2116.8069292080.

Adding to 9485140000 its reverse (415849), we get a palindrome (9485555849).

The spelling of 9485140000 in words is "nine billion, four hundred eighty-five million, one hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 28000 35000 67751 70000 135502 140000 271004 338755 474257 542008 677510 948514 1084016 1355020 1693775 1897028 2168032 2371285 2710040 3387550 3794056 4742570 5420080 6775100 7588112 8468875 9485140 10840160 11856425 13550200 15176224 16937750 18970280 23712850 27100400 33875500 37940560 42344375 47425700 54200800 59282125 67751000 75881120 84688750 94851400 118564250 135502000 169377500 189702800 237128500 271004000 296410625 338755000 379405600 474257000 592821250 677510000 948514000 1185642500 1355020000 1897028000 2371285000 4742570000 9485140000