Search a number
-
+
19686454311364 = 2229222723372
BaseRepresentation
bin1000111100111100111000…
…00111011011100111000100
32120201000011211221012100221
410132132130013123213010
510040020324300430424
6105511455433514124
74101204455444521
oct436363407334704
976630154835327
1019686454311364
1162aaa84263445
12225b449872944
13aca56a022469
144c0b88104148
152421533d49e4
hex11e79c1db9c4

19686454311364 has 81 divisors (see below), whose sum is σ = 35944769600103. Its totient is φ = 9433861575936.

The previous prime is 19686454311347. The next prime is 19686454311421. The reversal of 19686454311364 is 46311345468691.

The square root of 19686454311364 is 4436942.

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

It can be written as a sum of positive squares in 4 ways, for example, as 896032628100 + 18790421683264 = 946590^2 + 4334792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58416778204 + ... + 58416778540.

Almost surely, 219686454311364 is an apocalyptic number.

19686454311364 is the 4436942-nd square number.

It is an amenable number.

19686454311364 is a deficient number, since it is larger than the sum of its proper divisors (16258315288739).

19686454311364 is an frugal number, since it uses more digits than its factorization.

19686454311364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 595 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 61.

The spelling of 19686454311364 in words is "nineteen trillion, six hundred eighty-six billion, four hundred fifty-four million, three hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 4 29 58 116 227 337 454 674 841 908 1348 1682 3364 6583 9773 13166 19546 26332 39092 51529 76499 103058 113569 152998 190907 206116 227138 283417 305996 381814 454276 566834 763628 1133668 1494341 2218471 2988682 3293501 4436942 5977364 6587002 8873884 13174004 17365273 25780163 34730546 43335889 51560326 64335659 69461092 86671778 95511529 103120652 128671318 173343556 191023058 257342636 382046116 503592917 747624727 1007185834 1495249454 2014371668 2990498908 5852097001 11704194002 14604194593 21681117083 23408388004 29208389186 43362234166 58416778372 86724468332 169710813029 339421626058 678843252116 4921613577841 9843227155682 19686454311364