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1800447705680 = 245132133169209
BaseRepresentation
bin11010001100110011000…
…010111100001001010000
320101010021021222222012112
4122030303002330021100
5213444304103040210
63455040402444452
7244035525663311
oct32146302741120
96333237888175
101800447705680
11634624879588
12250b32363728
13100a20c1a800
14631dc030608
1531c78ee1d05
hex1a3330bc250

1800447705680 has 60 divisors (see below), whose sum is σ = 4532813569980. Its totient is φ = 664780686336.

The previous prime is 1800447705611. The next prime is 1800447705703. The reversal of 1800447705680 is 865077440081.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 640268828224 + 1160178877456 = 800168^2 + 1077116^2 .

It is a super-2 number, since 2×18004477056802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66571085 + ... + 66598124.

It is an arithmetic number, because the mean of its divisors is an integer number (75546892833).

Almost surely, 21800447705680 is an apocalyptic number.

1800447705680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1800447705680 is an abundant number, since it is smaller than the sum of its proper divisors (2732365864300).

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

1800447705680 is a wasteful number, since it uses less digits than its factorization.

1800447705680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133169248 (or 133169229 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 50.

The spelling of 1800447705680 in words is "one trillion, eight hundred billion, four hundred forty-seven million, seven hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 1040 1352 1690 2704 3380 6760 13520 133169209 266338418 532676836 665846045 1065353672 1331692090 1731199717 2130707344 2663384180 3462399434 5326768360 6924798868 8655998585 10653536720 13849597736 17311997170 22505596321 27699195472 34623994340 45011192642 69247988680 90022385284 112527981605 138495977360 180044770568 225055963210 360089541136 450111926420 900223852840 1800447705680