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6706412128 = 251322353917
BaseRepresentation
bin1100011111011101…
…11011101001100000
3122022101022000221101
412033232323221200
5102213320142003
63025245404144
7325122363643
oct61756735140
918271260841
106706412128
11293165a769
121371b69654
1382b541900
14478975a5a
15293b7511d
hex18fbbba60

6706412128 has 72 divisors (see below), whose sum is σ = 14918894928. Its totient is φ = 2960635392.

The previous prime is 6706412123. The next prime is 6706412213. The reversal of 6706412128 is 8212146076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6706412123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 97426 + ... + 151342.

It is an arithmetic number, because the mean of its divisors is an integer number (207206874).

Almost surely, 26706412128 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 6706412128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459447464).

6706412128 is an abundant number, since it is smaller than the sum of its proper divisors (8212482800).

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

6706412128 is a wasteful number, since it uses less digits than its factorization.

6706412128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53976 (or 53955 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 6706412128 is about 81892.6866576009. The cubic root of 6706412128 is about 1885.8048406118.

The spelling of 6706412128 in words is "six billion, seven hundred six million, four hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 169 184 208 299 338 368 416 598 676 736 1196 1352 2392 2704 3887 4784 5408 7774 9568 15548 31096 53917 62192 107834 124384 215668 431336 700921 862672 1240091 1401842 1725344 2480182 2803684 4960364 5607368 9111973 9920728 11214736 16121183 18223946 19841456 22429472 32242366 36447892 39682912 64484732 72895784 128969464 145791568 209575379 257938928 291583136 419150758 515877856 838301516 1676603032 3353206064 6706412128