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6438482694 = 233726193931
BaseRepresentation
bin1011111111100001…
…10111001100000110
3121121201010210212000
411333300313030012
5101141222421234
62542515010130
7315360125400
oct57760671406
917551123760
106438482694
1128043a0386
1212b8299946
137b7b92397
1445114db70
1527a39d899
hex17fc37306

6438482694 has 96 divisors (see below), whose sum is σ = 16674825600. Its totient is φ = 1836127440.

The previous prime is 6438482693. The next prime is 6438482731. The reversal of 6438482694 is 4962848346.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6438482694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6438482693) 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 47 ways as a sum of consecutive naturals, for example, 1635909 + ... + 1639839.

It is an arithmetic number, because the mean of its divisors is an integer number (173696100).

Almost surely, 26438482694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6438482694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8337412800).

6438482694 is an abundant number, since it is smaller than the sum of its proper divisors (10236342906).

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

6438482694 is a wasteful number, since it uses less digits than its factorization.

6438482694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4562 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 6438482694 is about 80240.1563682425. The cubic root of 6438482694 is about 1860.3493672560.

The spelling of 6438482694 in words is "six billion, four hundred thirty-eight million, four hundred eighty-two thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 619 882 1238 1323 1857 2646 3714 3931 4333 5571 7862 8666 11142 11793 12999 16713 23586 25998 27517 30331 33426 35379 38997 55034 60662 70758 77994 82551 90993 106137 116991 165102 181986 192619 212274 233982 247653 272979 385238 495306 545958 577857 742959 818937 1155714 1485918 1637874 1733571 2433289 3467142 4866578 5200713 7299867 10401426 14599734 17033023 21899601 34066046 43799202 51099069 65698803 102198138 119231161 131397606 153297207 238462322 306594414 357693483 459891621 715386966 919783242 1073080449 2146160898 3219241347 6438482694