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3483761116220 = 2257115938342077
BaseRepresentation
bin110010101100100000010…
…110000000010000111100
3110100001012022011012221122
4302230200112000100330
5424034220321204340
611224230123050112
7506456563620110
oct62544026002074
913301168135848
103483761116220
111123500368470
12483214670938
131c36955749b8
14c0887563740
15609498e5db5
hex32b2058043c

3483761116220 has 96 divisors (see below), whose sum is σ = 9275715509760. Its totient is φ = 1067443395840.

The previous prime is 3483761116201. The next prime is 3483761116249. The reversal of 3483761116220 is 226111673843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 19080179 + ... + 19261898.

It is an arithmetic number, because the mean of its divisors is an integer number (96622036560).

Almost surely, 23483761116220 is an apocalyptic number.

It is an amenable number.

3483761116220 is an abundant number, since it is smaller than the sum of its proper divisors (5791954393540).

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

3483761116220 is a wasteful number, since it uses less digits than its factorization.

3483761116220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38342163 (or 38342161 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 3483761116220 in words is "three trillion, four hundred eighty-three billion, seven hundred sixty-one million, one hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 59 70 77 110 118 140 154 220 236 295 308 385 413 590 649 770 826 1180 1298 1540 1652 2065 2596 3245 4130 4543 6490 8260 9086 12980 18172 22715 45430 90860 38342077 76684154 153368308 191710385 268394539 383420770 421762847 536789078 766841540 843525694 1073578156 1341972695 1687051388 2108814235 2262182543 2683945390 2952339929 4217628470 4524365086 5367890780 5904679858 8435256940 9048730172 11310912715 11809359716 14761699645 15835277801 22621825430 24884007973 29523399290 31670555602 45243650860 49768015946 59046798580 63341111204 79176389005 99536031892 124420039865 158352778010 174188055811 248840079730 316705556020 348376111622 497680159460 696752223244 870940279055 1741880558110 3483761116220