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6064540000 = 2554353859
BaseRepresentation
bin1011010010111100…
…11000100101100000
3120122122111112220121
411221132120211200
544410010240000
62441440050024
7303166511431
oct55136304540
916578445817
106064540000
112632302732
121213003914
1375857530c
1441760d488
15257635b1a
hex169798960

6064540000 has 120 divisors (see below), whose sum is σ = 14979361320. Its totient is φ = 2416128000.

The previous prime is 6064539983. The next prime is 6064540003. The reversal of 6064540000 is 454606.

It is a happy number.

It is a super-3 number, since 3×60645400003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6064540003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7059571 + ... + 7060429.

It is an arithmetic number, because the mean of its divisors is an integer number (124828011).

Almost surely, 26064540000 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 6064540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489680660).

6064540000 is an abundant number, since it is smaller than the sum of its proper divisors (8914821320).

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

6064540000 is an equidigital number, since it uses as much as digits as its factorization.

6064540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 6064540000 is about 77875.1565006453. The cubic root of 6064540000 is about 1823.6127569994.

Adding to 6064540000 its reverse (454606), we get a palindrome (6064994606).

The spelling of 6064540000 in words is "six billion, sixty-four million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 353 400 500 625 706 800 859 1000 1250 1412 1718 1765 2000 2500 2824 3436 3530 4000 4295 5000 5648 6872 7060 8590 8825 10000 11296 13744 14120 17180 17650 20000 21475 27488 28240 34360 35300 42950 44125 56480 68720 70600 85900 88250 107375 137440 141200 171800 176500 214750 220625 282400 303227 343600 353000 429500 441250 536875 606454 687200 706000 859000 882500 1073750 1212908 1412000 1516135 1718000 1765000 2147500 2425816 3032270 3436000 3530000 4295000 4851632 6064540 7060000 7580675 8590000 9703264 12129080 15161350 17180000 24258160 30322700 37903375 48516320 60645400 75806750 121290800 151613500 189516875 242581600 303227000 379033750 606454000 758067500 1212908000 1516135000 3032270000 6064540000