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6244884426 = 2311731379461
BaseRepresentation
bin1011101000011100…
…10101111111001010
3121010012211222221210
411310032111333022
5100242142300201
62511401313550
7310516433064
oct56416257712
917105758853
106244884426
112715090110
1212634958b6
13786a39bb1
14433556734
152683ab1d6
hex174395fca

6244884426 has 64 divisors (see below), whose sum is σ = 13914135936. Its totient is φ = 1852646400.

The previous prime is 6244884409. The next prime is 6244884427.

6244884426 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (6244884427) 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 31 ways as a sum of consecutive naturals, for example, 655336 + ... + 664796.

It is an arithmetic number, because the mean of its divisors is an integer number (217408374).

Almost surely, 26244884426 is an apocalyptic number.

6244884426 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6244884426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6957067968).

6244884426 is an abundant number, since it is smaller than the sum of its proper divisors (7669251510).

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

6244884426 is a wasteful number, since it uses less digits than its factorization.

6244884426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9687.

The product of its digits is 2359296, while the sum is 48.

The square root of 6244884426 is about 79024.5811504243. The cubic root of 6244884426 is about 1841.5130538579.

The spelling of 6244884426 in words is "six billion, two hundred forty-four million, eight hundred eighty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 73 137 146 219 274 411 438 803 822 1507 1606 2409 3014 4521 4818 9042 9461 10001 18922 20002 28383 30003 56766 60006 104071 110011 208142 220022 312213 330033 624426 660066 690653 1296157 1381306 2071959 2592314 3888471 4143918 7597183 7776942 14257727 15194366 22791549 28515454 42773181 45583098 85546362 94619461 189238922 283858383 567716766 1040814071 2081628142 3122442213 6244884426