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4734100000 = 255576763
BaseRepresentation
bin1000110100010110…
…01010001000100000
3110012221001012100001
410122023022020200
534143412200000
62101432105344
7225213120550
oct43213121040
913187035301
104734100000
11200a304443
12b01535254
135a5a40006
1432ca47160
151ca93146a
hex11a2ca220

4734100000 has 144 divisors (see below), whose sum is σ = 13315772736. Its totient is φ = 1622880000.

The previous prime is 4734099949. The next prime is 4734100001. The reversal of 4734100000 is 14374.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4734100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696619 + ... + 703381.

It is an arithmetic number, because the mean of its divisors is an integer number (92470644).

Almost surely, 24734100000 is an apocalyptic number.

4734100000 is a gapful number since it is divisible by the number (40) 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 4734100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657886368).

4734100000 is an abundant number, since it is smaller than the sum of its proper divisors (8581672736).

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

4734100000 is an frugal number, since it uses more digits than its factorization.

4734100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6805 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 4734100000 is about 68804.7963444410. The cubic root of 4734100000 is about 1679.1099783076.

Adding to 4734100000 its reverse (14374), we get a palindrome (4734114374).

The spelling of 4734100000 in words is "four billion, seven hundred thirty-four million, one hundred 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 3125 3500 4000 4375 5000 5600 6250 6763 7000 8750 10000 12500 13526 14000 17500 20000 21875 25000 27052 28000 33815 35000 43750 47341 50000 54104 67630 70000 87500 94682 100000 108208 135260 140000 169075 175000 189364 216416 236705 270520 338150 350000 378728 473410 541040 676300 700000 757456 845375 946820 1082080 1183525 1352600 1514912 1690750 1893640 2367050 2705200 3381500 3787280 4226875 4734100 5410400 5917625 6763000 7574560 8453750 9468200 11835250 13526000 16907500 18936400 21134375 23670500 27052000 29588125 33815000 37872800 42268750 47341000 59176250 67630000 84537500 94682000 118352500 135260000 147940625 169075000 189364000 236705000 295881250 338150000 473410000 591762500 676300000 946820000 1183525000 2367050000 4734100000