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4838666000 = 245373111149
BaseRepresentation
bin1001000000110100…
…00010111100010000
3110111012210200220212
410200122002330100
534402144303000
62120045223252
7230622660650
oct44032027420
913435720825
104838666000
112063334423
12b30561b28
135c15c1b9c
1433c8a6360
151d4bd8c35
hex120682f10

4838666000 has 160 divisors (see below), whose sum is σ = 13803878400. Its totient is φ = 1605312000.

The previous prime is 4838665999. The next prime is 4838666017. The reversal of 4838666000 is 6668384.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 428426 + ... + 439574.

It is an arithmetic number, because the mean of its divisors is an integer number (86274240).

Almost surely, 24838666000 is an apocalyptic number.

4838666000 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 4838666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6901939200).

4838666000 is an abundant number, since it is smaller than the sum of its proper divisors (8965212400).

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

4838666000 is a wasteful number, since it uses less digits than its factorization.

4838666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11210 (or 11194 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 4838666000 is about 69560.5204120843. The cubic root of 4838666000 is about 1691.3826901915.

The spelling of 4838666000 in words is "four billion, eight hundred thirty-eight million, six hundred sixty-six thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 31 35 40 50 56 62 70 80 100 112 124 125 140 155 175 200 217 248 250 280 310 350 400 434 496 500 560 620 700 775 868 875 1000 1085 1240 1400 1550 1736 1750 2000 2170 2480 2800 3100 3472 3500 3875 4340 5425 6200 7000 7750 8680 10850 11149 12400 14000 15500 17360 21700 22298 27125 31000 43400 44596 54250 55745 62000 78043 86800 89192 108500 111490 156086 178384 217000 222980 278725 312172 345619 390215 434000 445960 557450 624344 691238 780430 891920 1114900 1248688 1382476 1393625 1560860 1728095 1951075 2229800 2419333 2764952 2787250 3121720 3456190 3902150 4459600 4838666 5529904 5574500 6243440 6912380 7804300 8640475 9677332 9755375 11149000 12096665 13824760 15608600 17280950 19354664 19510750 22298000 24193330 27649520 31217200 34561900 38709328 39021500 43202375 48386660 60483325 69123800 78043000 86404750 96773320 120966650 138247600 156086000 172809500 193546640 241933300 302416625 345619000 483866600 604833250 691238000 967733200 1209666500 2419333000 4838666000