Search a number
-
+
20224324352544 = 2531320118058373
BaseRepresentation
bin1001001100100110101111…
…01010110011101000100000
32122121102111221022022220020
410212103113222303220200
510122323404013240134
6111002532031313440
74155105416403414
oct446232752635040
978542457268806
1020224324352544
1164980a6939334
12232773937b880
13b391b7b75610
144dcc10a8ad44
15251133a1ab49
hex1264d7ab3a20

20224324352544 has 96 divisors (see below), whose sum is σ = 57201046265664. Its totient is φ = 6219773844480.

The previous prime is 20224324352539. The next prime is 20224324352549. The reversal of 20224324352544 is 44525342342202.

20224324352544 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (20224324352539) and next prime (20224324352549).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20224324352496 and 20224324352505.

It is not an unprimeable number, because it can be changed into a prime (20224324352549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519459 + ... + 6538914.

It is an arithmetic number, because the mean of its divisors is an integer number (595844231934).

Almost surely, 220224324352544 is an apocalyptic number.

20224324352544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20224324352544 is an abundant number, since it is smaller than the sum of its proper divisors (36976721913120).

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

20224324352544 is a wasteful number, since it uses less digits than its factorization.

20224324352544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8060410 (or 8060402 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 42.

Adding to 20224324352544 its reverse (44525342342202), we get a palindrome (64749666694746).

The spelling of 20224324352544 in words is "twenty trillion, two hundred twenty-four billion, three hundred twenty-four million, three hundred fifty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2011 4022 6033 8044 12066 16088 24132 26143 32176 48264 52286 64352 78429 96528 104572 156858 193056 209144 313716 418288 627432 836576 1254864 2509728 8058373 16116746 24175119 32233492 48350238 64466984 96700476 104758849 128933968 193400952 209517698 257867936 314276547 386801904 419035396 628553094 773603808 838070792 1257106188 1676141584 2514212376 3352283168 5028424752 10056849504 16205388103 32410776206 48616164309 64821552412 97232328618 129643104824 194464657236 210670045339 259286209648 388929314472 421340090678 518572419296 632010136017 777858628944 842680181356 1264020272034 1555717257888 1685360362712 2528040544068 3370720725424 5056081088136 6741441450848 10112162176272 20224324352544