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20084254550116 = 22312414432
BaseRepresentation
bin1001001000100001110101…
…10110111010100001100100
32122010000222020021010012221
410210100322312322201210
510113030023131100431
6110414325033322124
74142016356622451
oct444207266724144
978100866233187
1020084254550116
116443759109639
122304568266344
13b28c249b3a13
144d612408c828
1524c686b0c111
hex12443adba864

20084254550116 has 135 divisors (see below), whose sum is σ = 38111600816415. Its totient is φ = 9260666654400.

The previous prime is 20084254550093. The next prime is 20084254550119. The reversal of 20084254550116 is 61105545248002.

The square root of 20084254550116 is 4481546.

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

It can be written as a sum of positive squares in 2 ways, for example, as 16399697519716 + 3684557030400 = 4049654^2 + 1919520^2 .

It is a super-2 number, since 2×200842545501162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20084254550119) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 467075687191 + ... + 467075687233.

Almost surely, 220084254550116 is an apocalyptic number.

20084254550116 is the 4481546-th square number.

It is an amenable number.

20084254550116 is a deficient number, since it is larger than the sum of its proper divisors (18027346266299).

20084254550116 is an frugal number, since it uses more digits than its factorization.

20084254550116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 43.

Adding to 20084254550116 its reverse (61105545248002), we get a palindrome (81189799798118).

The spelling of 20084254550116 in words is "twenty trillion, eighty-four billion, two hundred fifty-four million, five hundred fifty thousand, one hundred sixteen".

Divisors: 1 2 4 31 41 43 62 82 86 124 164 172 961 1271 1333 1681 1763 1849 1922 2542 2666 3362 3526 3698 3844 5084 5332 6724 7052 7396 39401 41323 52111 54653 57319 68921 72283 75809 78802 82646 104222 109306 114638 137842 144566 151618 157604 165292 208444 218612 229276 275684 289132 303236 1615441 1694243 1776889 2136551 2240773 2350079 2825761 2963603 3108169 3230882 3388486 3553778 4273102 4481546 4700158 5651522 5927206 6216338 6461764 6776972 7107556 8546204 8963092 9400316 11303044 11854412 12432676 66233081 69463963 72852449 87598591 91871693 96353239 121507723 127434929 132466162 138927926 145704898 175197182 183743386 192706478 243015446 254869858 264932324 277855852 291409796 350394364 367486772 385412956 486030892 509739716 2715556321 2848022483 2986950409 3766739413 3950482799 5224832089 5431112642 5696044966 5973900818 7533478826 7900965598 10449664178 10862225284 11392089932 11947801636 15066957652 15801931196 20899328356 116768921803 122464966769 161969794759 233537843606 244929933538 323939589518 467075687212 489859867076 647879179036 5021063637529 10042127275058 20084254550116