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216209978495472 = 243139971013343073
BaseRepresentation
bin110001001010010001001110…
…111101110001000111110000
31001100112110202010222122020210
4301022101032331301013300
5211314341013443323342
62043501254245304120
763353440552155663
oct6112211675610760
91040473663878223
10216209978495472
1162989156307295
12202bab38405040
13938468a194640
143b56893d896da
1519ee1b745079c
hexc4a44ef711f0

216209978495472 has 160 divisors (see below), whose sum is σ = 602706705427008. Its totient is φ = 66393620840448.

The previous prime is 216209978495453. The next prime is 216209978495473. The reversal of 216209978495472 is 274594879902612.

It is a junction number, because it is equal to n+sod(n) for n = 216209978495394 and 216209978495403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216209978495473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630044128 + ... + 630387200.

Almost surely, 2216209978495472 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 216209978495472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301353352713504).

216209978495472 is an abundant number, since it is smaller than the sum of its proper divisors (386496726931536).

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

216209978495472 is a wasteful number, since it uses less digits than its factorization.

216209978495472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345107 (or 345101 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 75.

The spelling of 216209978495472 in words is "two hundred sixteen trillion, two hundred nine billion, nine hundred seventy-eight million, four hundred ninety-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 997 1013 1994 2026 2991 3039 3988 4052 5982 6078 7976 8104 11964 12156 12961 13169 15952 16208 23928 24312 25922 26338 38883 39507 47856 48624 51844 52676 77766 79014 103688 105352 155532 158028 207376 210704 311064 316056 343073 622128 632112 686146 1009961 1029219 1372292 2019922 2058438 2744584 3029883 4039844 4116876 4459949 5489168 6059766 8079688 8233752 8919898 12119532 13129493 13379847 16159376 16467504 17839796 24239064 26258986 26759694 35679592 39388479 48478128 52517972 53519388 71359184 78776958 105035944 107038776 157553916 210071888 214077552 315107832 342043781 347532949 630215664 684087562 695065898 1026131343 1042598847 1368175124 1390131796 2052262686 2085197694 2736350248 2780263592 4104525372 4170395388 4446569153 4517928337 5472700496 5560527184 8209050744 8340790776 8893138306 9035856674 13339707459 13553785011 16418101488 16681581552 17786276612 18071713348 26679414918 27107570022 35572553224 36143426696 53358829836 54215140044 71145106448 72286853392 106717659672 108430280088 213435319344 216860560176 346490350153 692980700306 1039471050459 1385961400612 2078942100918 2771922801224 4157884201836 4504374551989 5543845602448 8315768403672 9008749103978 13513123655967 16631536807344 18017498207956 27026247311934 36034996415912 54052494623868 72069992831824 108104989247736 216209978495472