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6644786680 = 2357472112393
BaseRepresentation
bin1100011000000111…
…10110010111111000
3122011002100010201101
412030003312113320
5102102031133210
63015204501144
7323443516630
oct61403662770
918132303641
106644786680
1128aa899644
1213553aa7b4
1381b845b4c
144706d36c0
1528d550a3a
hex18c0f65f8

6644786680 has 128 divisors (see below), whose sum is σ = 17540167680. Its totient is φ = 2218245120.

The previous prime is 6644786671. The next prime is 6644786683. The reversal of 6644786680 is 866874466.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6644786683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2775564 + ... + 2777956.

It is an arithmetic number, because the mean of its divisors is an integer number (137032560).

Almost surely, 26644786680 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 6644786680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770083840).

6644786680 is an abundant number, since it is smaller than the sum of its proper divisors (10895381000).

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

6644786680 is a wasteful number, since it uses less digits than its factorization.

6644786680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 55.

The square root of 6644786680 is about 81515.5609684433. The cubic root of 6644786680 is about 1880.0108155406.

It can be divided in two parts, 6644786 and 680, that added together give a palindrome (6645466).

The spelling of 6644786680 in words is "six billion, six hundred forty-four million, seven hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 211 235 280 329 376 422 470 658 844 940 1055 1316 1477 1645 1688 1880 2110 2393 2632 2954 3290 4220 4786 5908 6580 7385 8440 9572 9917 11816 11965 13160 14770 16751 19144 19834 23930 29540 33502 39668 47860 49585 59080 67004 69419 79336 83755 95720 99170 112471 134008 138838 167510 198340 224942 277676 335020 347095 396680 449884 504923 555352 562355 670040 694190 787297 899768 1009846 1124710 1388380 1574594 2019692 2249420 2524615 2776760 3149188 3534461 3936485 4039384 4498840 5049230 6298376 7068922 7872970 10098460 14137844 15745940 17672305 20196920 23731381 28275688 31491880 35344610 47462762 70689220 94925524 118656905 141378440 166119667 189851048 237313810 332239334 474627620 664478668 830598335 949255240 1328957336 1661196670 3322393340 6644786680