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6440664438 = 23213171619071
BaseRepresentation
bin1011111111110010…
…01011110101110110
3121121212020122122100
411333321023311312
5101142302230223
62543033442530
7315414513225
oct57771136566
917555218570
106440664438
11280565057a
1212b8b70446
137b8477460
1445155acbc
1527a680043
hex17fe4bd76

6440664438 has 48 divisors (see below), whose sum is σ = 15912239616. Its totient is φ = 1865168640.

The previous prime is 6440664431. The next prime is 6440664449. The reversal of 6440664438 is 8344660446.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6440664393 and 6440664402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6440664431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805558 + ... + 813513.

It is an arithmetic number, because the mean of its divisors is an integer number (331504992).

Almost surely, 26440664438 is an apocalyptic number.

6440664438 is an abundant number, since it is smaller than the sum of its proper divisors (9471575178).

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

6440664438 is a wasteful number, since it uses less digits than its factorization.

6440664438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619109 (or 1619106 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The square root of 6440664438 is about 80253.7503048923. The cubic root of 6440664438 is about 1860.5594761638.

The spelling of 6440664438 in words is "six billion, four hundred forty million, six hundred sixty-four thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 1619071 3238142 4857213 9714426 14571639 21047923 27524207 29143278 42095846 55048414 63143769 82572621 126287538 165145242 189431307 247717863 357814691 378862614 495435726 715629382 1073444073 2146888146 3220332219 6440664438