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446052250644 = 2237211135304841
BaseRepresentation
bin1100111110110101100…
…10010011010000010100
31120122100011000002120120
412133122302103100110
524302003334010034
6540525155431540
744140406400300
oct6373262232024
91518304002516
10446052250644
11162195959980
1272545bb55b0
13330a75522b0
14178364a0d00
15b9098d9c49
hex67dac93414

446052250644 has 144 divisors (see below), whose sum is σ = 1422376675776. Its totient is φ = 106945574400.

The previous prime is 446052250627. The next prime is 446052250663.

446052250644 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4460522506442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 446052250596 and 446052250605.

It is a congruent number.

It is an unprimeable number.

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, 2568337 + ... + 2736504.

It is an arithmetic number, because the mean of its divisors is an integer number (9877615804).

Almost surely, 2446052250644 is an apocalyptic number.

446052250644 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

446052250644 is an abundant number, since it is smaller than the sum of its proper divisors (976324425132).

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

446052250644 is a wasteful number, since it uses less digits than its factorization.

446052250644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5304886 (or 5304877 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

It can be divided in two parts, 446052 and 250644, that added together give a palindrome (696696).

The spelling of 446052250644 in words is "four hundred forty-six billion, fifty-two million, two hundred fifty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 6006 6468 7007 7644 12012 14014 21021 28028 42042 84084 5304841 10609682 15914523 21219364 31829046 37133887 58353251 63658092 68962933 74267774 111401661 116706502 137925866 148535548 175059753 206888799 222803322 233413004 259937209 275851732 350119506 408472757 413777598 445606644 482740531 519874418 700239012 758592263 779811627 816945514 827555196 965481062 1039748836 1225418271 1448221593 1517184526 1559623254 1633891028 1930962124 2275776789 2450836542 2859309299 2896443186 3034369052 3119246508 3379183717 4551553578 4901673084 5310145841 5718618598 5792886372 6758367434 8577927897 9103107156 10137551151 10620291682 11437237196 13516734868 15930437523 17155855794 20275102302 21240583364 31860875046 34311711588 37171020887 40550204604 63721750092 74342041774 111513062661 148684083548 223026125322 446052250644