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19948414702745 = 5173734211494509
BaseRepresentation
bin1001000100100100110100…
…01011000001010010011001
32121122001100022121220000202
410202102122023001102121
510103313323130441440
6110232101502111545
74126140212153144
oct442223213012231
977561308556022
1019948414702745
1163a1091055771
1222a217787b5b5
13b19186c884c9
144cd71918305b
15248d86248615
hex12249a2c1499

19948414702745 has 32 divisors (see below), whose sum is σ = 25474556622240. Its totient is φ = 14944123514880.

The previous prime is 19948414702679. The next prime is 19948414702771. The reversal of 19948414702745 is 54720741484991.

It can be written as a sum of positive squares in 16 ways, for example, as 1612445372041 + 18335969330704 = 1269821^2 + 4282052^2 .

It is not a de Polignac number, because 19948414702745 - 228 = 19948146267289 is a prime.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 12600551 + ... + 14095059.

It is an arithmetic number, because the mean of its divisors is an integer number (796079894445).

Almost surely, 219948414702745 is an apocalyptic number.

It is an amenable number.

19948414702745 is a deficient number, since it is larger than the sum of its proper divisors (5526141919495).

19948414702745 is a wasteful number, since it uses less digits than its factorization.

19948414702745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495325.

The product of its (nonzero) digits is 81285120, while the sum is 65.

The spelling of 19948414702745 in words is "nineteen trillion, nine hundred forty-eight billion, four hundred fourteen million, seven hundred two thousand, seven hundred forty-five".

Divisors: 1 5 17 85 373 421 1865 2105 6341 7157 31705 35785 157033 785165 1494509 2669561 7472545 13347805 25406653 127033265 557451857 629188289 2787259285 3145941445 9476681569 10696200913 47383407845 53481004565 234687231797 1173436158985 3989682940549 19948414702745