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6065060000 = 25542910457
BaseRepresentation
bin1011010011000000…
…10111100010100000
3120122200110222012212
411221200113202200
544410123410000
62441455141252
7303204105446
oct55140274240
916580428185
106065060000
11263262838a
121213214828
137586c7bcc
14417706b96
152576d9c35
hex1698178a0

6065060000 has 120 divisors (see below), whose sum is σ = 15436949220. Its totient is φ = 2342144000.

The previous prime is 6065059981. The next prime is 6065060009. The reversal of 6065060000 is 605606.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 7862416 + 6057197584 = 2804^2 + 77828^2 .

It is not an unprimeable number, because it can be changed into a prime (6065060009) by changing a digit.

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, 574772 + ... + 585228.

Almost surely, 26065060000 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 6065060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718474610).

6065060000 is an abundant number, since it is smaller than the sum of its proper divisors (9371889220).

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

6065060000 is a wasteful number, since it uses less digits than its factorization.

6065060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 6065060000 is about 77878.4951061588. The cubic root of 6065060000 is about 1823.6648770026.

Adding to 6065060000 its reverse (605606), we get a palindrome (6065665606).

The spelling of 6065060000 in words is "six billion, sixty-five million, sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 10000 10457 11600 14500 18125 20000 20914 23200 29000 36250 41828 52285 58000 72500 83656 104570 116000 145000 167312 209140 261425 290000 303253 334624 418280 522850 580000 606506 836560 1045700 1213012 1307125 1516265 1673120 2091400 2426024 2614250 3032530 4182800 4852048 5228500 6065060 6535625 7581325 8365600 9704096 10457000 12130120 13071250 15162650 20914000 24260240 26142500 30325300 37906625 41828000 48520480 52285000 60650600 75813250 104570000 121301200 151626500 189533125 209140000 242602400 303253000 379066250 606506000 758132500 1213012000 1516265000 3032530000 6065060000