Search a number
-
+
4818540000 = 2535480309
BaseRepresentation
bin1000111110011010…
…10001010111100000
3110102210221012020110
410133031101113200
534332021240000
62114050011320
7230256625401
oct43715212740
913383835213
104818540000
112052a3846a
12b25876b40
135ba396301
14339d479a8
151d3060850
hex11f3515e0

4818540000 has 120 divisors (see below), whose sum is σ = 15805971720. Its totient is φ = 1284928000.

The previous prime is 4818539977. The next prime is 4818540029. The reversal of 4818540000 is 458184.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4818540000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19846 + ... + 100154.

It is an arithmetic number, because the mean of its divisors is an integer number (131716431).

Almost surely, 24818540000 is an apocalyptic number.

4818540000 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 4818540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7902985860).

4818540000 is an abundant number, since it is smaller than the sum of its proper divisors (10987431720).

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

4818540000 is an equidigital number, since it uses as much as digits as its factorization.

4818540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80342 (or 80319 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 4818540000 is about 69415.7042750414. The cubic root of 4818540000 is about 1689.0343794587.

Adding to 4818540000 its reverse (458184), we get a palindrome (4818998184).

The spelling of 4818540000 in words is "four billion, eight hundred eighteen million, five hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 80309 160618 240927 321236 401545 481854 642472 803090 963708 1204635 1284944 1606180 1927416 2007725 2409270 2569888 3212360 3854832 4015450 4818540 6023175 6424720 7709664 8030900 9637080 10038625 12046350 12849440 16061800 19274160 20077250 24092700 30115875 32123600 38548320 40154500 48185400 50193125 60231750 64247200 80309000 96370800 100386250 120463500 150579375 160618000 192741600 200772500 240927000 301158750 321236000 401545000 481854000 602317500 803090000 963708000 1204635000 1606180000 2409270000 4818540000