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6866412336 = 2433721719081
BaseRepresentation
bin1100110010100010…
…10010001100110000
3122201112100212222000
412121101102030300
5103030300143321
63053203014000
7332104353600
oct63121221460
918645325860
106866412336
112a03a02243
1213b766a300
138557324a4
14491d04c00
152a2c2c826
hex199452330

6866412336 has 240 divisors, whose sum is σ = 24276883680. Its totient is φ = 1846333440.

The previous prime is 6866412317. The next prime is 6866412349. The reversal of 6866412336 is 6332146686.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6866412291 and 6866412300.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 350316 + ... + 369396.

It is an arithmetic number, because the mean of its divisors is an integer number (101153682).

Almost surely, 26866412336 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 6866412336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12138441840).

6866412336 is an abundant number, since it is smaller than the sum of its proper divisors (17410471344).

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

6866412336 is a wasteful number, since it uses less digits than its factorization.

6866412336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19129 (or 19110 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 6866412336 is about 82863.8180148610. The cubic root of 6866412336 is about 1900.6841798244.

The spelling of 6866412336 in words is "six billion, eight hundred sixty-six million, four hundred twelve thousand, three hundred thirty-six".