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6966636128 = 252916744953
BaseRepresentation
bin1100111110011111…
…00110111001100000
3122222111221210011022
412133033212321200
5103231424324003
63111143105012
7334432300334
oct63717467140
918874853138
106966636128
112a55536921
121425142168
13870423aca
144a13537c4
152ab928738
hex19f3e6e60

6966636128 has 48 divisors (see below), whose sum is σ = 14273794080. Its totient is φ = 3342990336.

The previous prime is 6966636097. The next prime is 6966636151. The reversal of 6966636128 is 8216366696.

It is a self number, because there is not a number n which added to its sum of digits gives 6966636128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132500 + ... + 177452.

It is an arithmetic number, because the mean of its divisors is an integer number (297370710).

Almost surely, 26966636128 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 6966636128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136897040).

6966636128 is an abundant number, since it is smaller than the sum of its proper divisors (7307157952).

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

6966636128 is a wasteful number, since it uses less digits than its factorization.

6966636128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45159 (or 45151 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 53.

The square root of 6966636128 is about 83466.3772305951. The cubic root of 6966636128 is about 1909.8871609005.

The spelling of 6966636128 in words is "six billion, nine hundred sixty-six million, six hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 167 232 334 464 668 928 1336 2672 4843 5344 9686 19372 38744 44953 77488 89906 154976 179812 359624 719248 1303637 1438496 2607274 5214548 7507151 10429096 15014302 20858192 30028604 41716384 60057208 120114416 217707379 240228832 435414758 870829516 1741659032 3483318064 6966636128