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4416481872 = 2432119412963
BaseRepresentation
bin1000001110011111…
…00010101001010000
3102101210101112011200
410013033202221100
533021104404442
62010124311200
7214305322305
oct40717425120
912353345150
104416481872
111966a97220
12a330a2500
13554cb3caa
142dc7a90ac
151acae234c
hex1073e2a50

4416481872 has 120 divisors (see below), whose sum is σ = 13502537568. Its totient is φ = 1336454400.

The previous prime is 4416481859. The next prime is 4416481897. The reversal of 4416481872 is 2781846144.

4416481872 is a `hidden beast` number, since 441 + 64 + 81 + 8 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1489063 + ... + 1492025.

Almost surely, 24416481872 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 4416481872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751268784).

4416481872 is an abundant number, since it is smaller than the sum of its proper divisors (9086055696).

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

4416481872 is a wasteful number, since it uses less digits than its factorization.

4416481872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3920 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 4416481872 is about 66456.6164651797. The cubic root of 4416481872 is about 1640.6860445226.

The spelling of 4416481872 in words is "four billion, four hundred sixteen million, four hundred eighty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 941 1584 1882 2823 2963 3764 5646 5926 7528 8469 8889 10351 11292 11852 15056 16938 17778 20702 22584 23704 26667 31053 32593 33876 35556 41404 45168 47408 53334 62106 65186 67752 71112 82808 93159 97779 106668 124212 130372 135504 142224 165616 186318 195558 213336 248424 260744 293337 372636 391116 426672 496848 521488 586674 745272 782232 1173348 1490544 1564464 2346696 2788183 4693392 5576366 8364549 11152732 16729098 22305464 25093647 30670013 33458196 44610928 50187294 61340026 66916392 92010039 100374588 122680052 133832784 184020078 200749176 245360104 276030117 368040156 401498352 490720208 552060234 736080312 1104120468 1472160624 2208240936 4416481872