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6066868000 = 255310115017
BaseRepresentation
bin1011010011001110…
…10000111100100000
3120122210212211022211
411221213100330200
544411104234000
62442002011504
7303225345544
oct55147207440
916583784284
106066868000
1126336527a6
121213946b94
13758babb2b
14417a57a24
152579457ba
hex1699d0f20

6066868000 has 96 divisors (see below), whose sum is σ = 15054884208. Its totient is φ = 2402560000.

The previous prime is 6066867991. The next prime is 6066868009. The reversal of 6066868000 is 8686606.

It is an interprime number because it is at equal distance from previous prime (6066867991) and next prime (6066868009).

It can be written as a sum of positive squares in 8 ways, for example, as 881139856 + 5185728144 = 29684^2 + 72012^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6066868009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396492 + ... + 411508.

Almost surely, 26066868000 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 6066868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527442104).

6066868000 is an abundant number, since it is smaller than the sum of its proper divisors (8988016208).

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

6066868000 is a wasteful number, since it uses less digits than its factorization.

6066868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15143 (or 15125 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 6066868000 is about 77890.1020669507. The cubic root of 6066868000 is about 1823.8460710617.

The spelling of 6066868000 in words is "six billion, sixty-six million, eight hundred sixty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 15017 16160 20200 25250 30034 40400 50500 60068 75085 80800 101000 120136 150170 202000 240272 300340 375425 404000 480544 600680 750850 1201360 1501700 1516717 1877125 2402720 3003400 3033434 3754250 6006800 6066868 7508500 7583585 12013600 12133736 15017000 15167170 24267472 30034000 30334340 37917925 48534944 60068000 60668680 75835850 121337360 151671700 189589625 242674720 303343400 379179250 606686800 758358500 1213373600 1516717000 3033434000 6066868000