Search a number
-
+
21614405163552 = 253417490522993
BaseRepresentation
bin1001110101000011111101…
…11100010001101000100000
32211112022120001121010010000
410322201332330101220200
510313112300210213202
6113545304243340000
74360406052343215
oct472417674215040
984468501533100
1021614405163552
116983688257073
122511024681600
13c0a2ca747596
1454a1ddb6bb0c
15277390e3191c
hex13a87ef11a20

21614405163552 has 120 divisors (see below), whose sum is σ = 67306622098716. Its totient is φ = 6780989841408.

The previous prime is 21614405163551. The next prime is 21614405163577. The reversal of 21614405163552 is 25536150441612.

21614405163552 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 4 + 4 + 0 + 5 + 1 + 635 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21130607014416 + 483798149136 = 4596804^2 + 695556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21614405163498 and 21614405163507.

It is not an unprimeable number, because it can be changed into a prime (21614405163551) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 245217433 + ... + 245305560.

Almost surely, 221614405163552 is an apocalyptic number.

It is an amenable number.

21614405163552 is an abundant number, since it is smaller than the sum of its proper divisors (45692216935164).

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

21614405163552 is a wasteful number, since it uses less digits than its factorization.

21614405163552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490523032 (or 490523015 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 21614405163552 in words is "twenty-one trillion, six hundred fourteen billion, four hundred five million, one hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 44064 490522993 981045986 1471568979 1962091972 2943137958 3924183944 4414706937 5886275916 7848367888 8338890881 8829413874 11772551832 13244120811 15696735776 16677781762 17658827748 23545103664 25016672643 26488241622 33355563524 35317655496 39732362433 47090207328 50033345286 52976483244 66711127048 70635310992 75050017929 79464724866 100066690572 105952966488 133422254096 141270621984 150100035858 158929449732 200133381144 211905932976 225150053787 266844508192 300200071716 317858899464 400266762288 423811865952 450300107574 600400143432 635717798928 675450161361 800533524576 900600215148 1200800286864 1271435597856 1350900322722 1801200430296 2401600573728 2701800645444 3602400860592 5403601290888 7204801721184 10807202581776 21614405163552