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6866909312 = 27109577853
BaseRepresentation
bin1100110010100110…
…01011100010000000
3122201120022010200112
412121103023202000
5103030412044222
63053221410452
7332111523524
oct63123134200
918646263615
106866909312
112a0421166a
1213b7869a28
13855877763
14491dd3d84
152a2cc9be2
hex1994cb880

6866909312 has 64 divisors (see below), whose sum is σ = 13845816600. Its totient is φ = 3392077824.

The previous prime is 6866909303. The next prime is 6866909321. The reversal of 6866909312 is 2139096686.

It is an interprime number because it is at equal distance from previous prime (6866909303) and next prime (6866909321).

It can be written as a sum of positive squares in 4 ways, for example, as 6563592256 + 303317056 = 81016^2 + 17416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 8049878 + ... + 8050730.

Almost surely, 26866909312 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 6866909312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922908300).

6866909312 is an abundant number, since it is smaller than the sum of its proper divisors (6978907288).

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

6866909312 is a wasteful number, since it uses less digits than its factorization.

6866909312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 50.

The square root of 6866909312 is about 82866.8167121195. The cubic root of 6866909312 is about 1900.7300345147.

The spelling of 6866909312 in words is "six billion, eight hundred sixty-six million, nine hundred nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 577 853 872 1154 1706 1744 2308 3412 3488 4616 6824 6976 9232 13648 13952 18464 27296 36928 54592 62893 73856 92977 109184 125786 185954 251572 371908 492181 503144 743816 984362 1006288 1487632 1968724 2012576 2975264 3937448 4025152 5950528 7874896 8050304 11901056 15749792 31499584 53647729 62999168 107295458 214590916 429181832 858363664 1716727328 3433454656 6866909312