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6440067844 = 22743197223
BaseRepresentation
bin1011111111101101…
…11010001100000100
3121121211010100021021
411333312322030010
5101142124132334
62543013000524
7315406450000
oct57766721404
917554110237
106440067844
112805283321
1212b8923144
137b82c8a42
14451443700
1527a5b33b4
hex17fdba304

6440067844 has 120 divisors (see below), whose sum is σ = 13773211648. Its totient is φ = 2631605760.

The previous prime is 6440067833. The next prime is 6440067847. The reversal of 6440067844 is 4487600446.

It is a self number, because there is not a number n which added to its sum of digits gives 6440067844.

It is not an unprimeable number, because it can be changed into a prime (6440067847) 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 39 ways as a sum of consecutive naturals, for example, 28879117 + ... + 28879339.

Almost surely, 26440067844 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 6440067844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886605824).

6440067844 is an abundant number, since it is smaller than the sum of its proper divisors (7333143804).

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

6440067844 is a wasteful number, since it uses less digits than its factorization.

6440067844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The square root of 6440067844 is about 80250.0332959432. The cubic root of 6440067844 is about 1860.5020269723.

The spelling of 6440067844 in words is "six billion, four hundred forty million, sixty-seven thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 28 31 49 62 97 98 124 194 196 217 223 343 388 434 446 679 686 868 892 1358 1372 1519 1561 2401 2716 3007 3038 3122 4753 4802 6014 6076 6244 6913 9506 9604 10633 10927 12028 13826 19012 21049 21266 21631 21854 27652 33271 42098 42532 43262 43708 48391 66542 74431 76489 84196 86524 96782 133084 147343 148862 151417 152978 193564 232897 294686 297724 302834 305956 338737 465794 535423 589372 605668 670561 677474 931588 1031401 1059919 1070846 1341122 1354948 2062802 2119838 2141692 2371159 2682244 4125604 4239676 4693927 4742318 7219807 7419433 9387854 9484636 14439614 14838866 16598113 18775708 28879228 29677732 32857489 33196226 51936031 65714978 66392452 103872062 131429956 207744124 230002423 460004846 920009692 1610016961 3220033922 6440067844