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44682013220 = 225136116371721
BaseRepresentation
bin101001100111010000…
…010110101000100100
311021022222002110012112
4221213100112220210
51213002043410340
632305430340152
73141155563055
oct514720265044
9137288073175
1044682013220
1117a49916959
1287ababa658
1342a10863a0
14223c33672c
151267a7a065
hexa67416a24

44682013220 has 96 divisors (see below), whose sum is σ = 102829106016. Its totient is φ = 16208179200.

The previous prime is 44682013183. The next prime is 44682013231. The reversal of 44682013220 is 2231028644.

It can be written as a sum of positive squares in 16 ways, for example, as 36953141824 + 7728871396 = 192232^2 + 87914^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25961960 + ... + 25963680.

It is an arithmetic number, because the mean of its divisors is an integer number (1071136521).

Almost surely, 244682013220 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 44682013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51414553008).

44682013220 is an abundant number, since it is smaller than the sum of its proper divisors (58147092796).

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

44682013220 is a wasteful number, since it uses less digits than its factorization.

44682013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 44682013220 in words is "forty-four billion, six hundred eighty-two million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 1637 1721 3172 3274 3442 3965 6548 6884 7930 8185 8605 15860 16370 17210 21281 22373 32740 34420 42562 44746 85124 89492 99857 104981 106405 111865 199714 209962 212810 223730 399428 419924 425620 447460 499285 524905 998570 1049810 1298141 1364753 1997140 2099620 2596282 2729506 2817277 5192564 5459012 5634554 6490705 6823765 11269108 12981410 13647530 14086385 25962820 27295060 28172770 36624601 56345540 73249202 146498404 171853897 183123005 343707794 366246010 687415588 732492020 859269485 1718538970 2234100661 3437077940 4468201322 8936402644 11170503305 22341006610 44682013220