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214044326533650 = 235215714816137023
BaseRepresentation
bin110000101010110000010100…
…000011001001101000010010
31001001212102211010202020020110
4300222300110003021220102
5211023400240043034100
62035122334532022150
763041122643212614
oct6052602403115022
91031772733666213
10214044326533650
1162223764227818
122000b283a61956
1392583a7744b62
143abdb2d0d2db4
1519b2bb66ea250
hexc2ac140c9a12

214044326533650 has 96 divisors (see below), whose sum is σ = 534571808928768. Its totient is φ = 56676625574400.

The previous prime is 214044326533633. The next prime is 214044326533651. The reversal of 214044326533650 is 56335623440412.

It is a self number, because there is not a number n which added to its sum of digits gives 214044326533650.

It is not an unprimeable number, because it can be changed into a prime (214044326533651) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 31809039 + ... + 37946061.

It is an arithmetic number, because the mean of its divisors is an integer number (5568456343008).

Almost surely, 2214044326533650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214044326533650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267285904464384).

214044326533650 is an abundant number, since it is smaller than the sum of its proper divisors (320527482395118).

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

214044326533650 is a wasteful number, since it uses less digits than its factorization.

214044326533650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6138676 (or 6138671 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 214044326533650 in words is "two hundred fourteen trillion, forty-four billion, three hundred twenty-six million, five hundred thirty-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 157 314 471 785 942 1481 1570 2355 2962 3925 4443 4710 7405 7850 8886 11775 14810 22215 23550 37025 44430 74050 111075 222150 232517 465034 697551 1162585 1395102 2325170 3487755 5812925 6137023 6975510 11625850 12274046 17438775 18411069 30685115 34877550 36822138 61370230 92055345 153425575 184110690 306851150 460276725 920553450 963512611 1927025222 2890537833 4817563055 5781075666 9088931063 9635126110 14452689165 18177862126 24087815275 27266793189 28905378330 45444655315 48175630550 54533586378 72263445825 90889310630 136333965945 144526891650 227223276575 272667931890 454446553150 681669829725 1363339659450 1426962176891 2853924353782 4280886530673 7134810884455 8561773061346 14269621768910 21404432653365 35674054422275 42808865306730 71348108844550 107022163266825 214044326533650