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19963569099721 = 132312110872
BaseRepresentation
bin1001000101000001000010…
…11100011101001111001001
32121200111110110022000112211
410202200201130131033021
510104040342142142341
6110243045333305121
74130214565334422
oct442404134351711
977614413260484
1019963569099721
1163a7558342495
1222a50a6a951a1
13b1a7307b2900
144d0355ab8649
152494718aa181
hex12282171d3c9

19963569099721 has 27 divisors (see below), whose sum is σ = 22339199497383. Its totient is φ = 17831852728560.

The previous prime is 19963569099637. The next prime is 19963569099811. The reversal of 19963569099721 is 12799096536991.

It is a happy number.

The square root of 19963569099721 is 4468061.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2953190695225 + 17010378404496 = 1718485^2 + 4124364^2 .

It is a de Polignac number, because none of the positive numbers 2k-19963569099721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19963569099421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1800623040 + ... + 1800634126.

Almost surely, 219963569099721 is an apocalyptic number.

19963569099721 is the 4468061-st square number.

19963569099721 is the 2234031-st centered octagonal number.

It is an amenable number.

19963569099721 is a deficient number, since it is larger than the sum of its proper divisors (2375630397662).

19963569099721 is an frugal number, since it uses more digits than its factorization.

19963569099721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22262 (or 11131 counting only the distinct ones).

The product of its (nonzero) digits is 446410440, while the sum is 76.

The spelling of 19963569099721 in words is "nineteen trillion, nine hundred sixty-three billion, five hundred sixty-nine million, ninety-nine thousand, seven hundred twenty-one".

Divisors: 1 13 31 169 403 961 5239 11087 12493 144131 162409 343697 1873703 4468061 10654607 58084793 122921569 138509891 1597980397 1800628583 3810568639 20773745161 49537392307 118127627809 643986099991 1535659161517 19963569099721