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6643981638 = 233723078179
BaseRepresentation
bin1100011000000001…
…10001110101000110
3122011000211020102000
412030000301311012
5102101324403023
63015135330130
7323433624600
oct61400616506
918130736360
106643981638
1128aa399818
121355080946
1381b6235a8
14470564170
1528d442243
hex18c031d46

6643981638 has 96 divisors (see below), whose sum is σ = 17232969600. Its totient is φ = 1891865808.

The previous prime is 6643981613. The next prime is 6643981639. The reversal of 6643981638 is 8361893466.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6643981639) by changing a digit.

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, 808233 + ... + 816411.

It is an arithmetic number, because the mean of its divisors is an integer number (179510100).

Almost surely, 26643981638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6643981638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8616484800).

6643981638 is an abundant number, since it is smaller than the sum of its proper divisors (10588987962).

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

6643981638 is a wasteful number, since it uses less digits than its factorization.

6643981638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511 (or 8498 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 6643981638 is about 81510.6228537115. The cubic root of 6643981638 is about 1879.9348889099.

The spelling of 6643981638 in words is "six billion, six hundred forty-three million, nine hundred eighty-one thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 307 378 441 614 882 921 1323 1842 2149 2646 2763 4298 5526 6447 8179 8289 12894 15043 16358 16578 19341 24537 30086 38682 45129 49074 57253 58023 73611 90258 114506 116046 135387 147222 171759 220833 270774 343518 400771 406161 441666 515277 801542 812322 1030554 1202313 1545831 2404626 2510953 3091662 3606939 5021906 7213878 7532859 10820817 15065718 17576671 21641634 22598577 35153342 45197154 52730013 67795731 105460026 123036697 135591462 158190039 246073394 316380078 369110091 474570117 738220182 949140234 1107330273 2214660546 3321990819 6643981638