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53444210544 = 24322319383609
BaseRepresentation
bin110001110001100001…
…011110111101110000
312002221121201012021100
4301301201132331300
51333423204214134
640315114524400
73601253202624
oct616141367560
9162847635240
1053444210544
112073595544a
12a436436700
1350694a4a2a
14282dd29184
1515cbe31999
hexc7185ef70

53444210544 has 120 divisors (see below), whose sum is σ = 156883128480. Its totient is φ = 16951689216.

The previous prime is 53444210507. The next prime is 53444210587. The reversal of 53444210544 is 44501244435.

53444210544 is a `hidden beast` number, since 53 + 4 + 44 + 21 + 0 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53444210499 and 53444210508.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 597412 + ... + 681020.

It is an arithmetic number, because the mean of its divisors is an integer number (1307359404).

Almost surely, 253444210544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53444210544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78441564240).

53444210544 is an abundant number, since it is smaller than the sum of its proper divisors (103438917936).

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

53444210544 is a wasteful number, since it uses less digits than its factorization.

53444210544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83839 (or 83830 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 53444210544 its reverse (44501244435), we get a palindrome (97945454979).

The spelling of 53444210544 in words is "fifty-three billion, four hundred forty-four million, two hundred ten thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 193 207 276 368 386 414 552 579 772 828 1104 1158 1544 1656 1737 2316 3088 3312 3474 4439 4632 6948 8878 9264 13317 13896 17756 26634 27792 35512 39951 53268 71024 79902 83609 106536 159804 167218 213072 250827 319608 334436 501654 639216 668872 752481 1003308 1337744 1504962 1923007 2006616 3009924 3846014 4013232 5769021 6019848 7692028 11538042 12039696 15384056 16136537 17307063 23076084 30768112 32273074 34614126 46152168 48409611 64546148 69228252 92304336 96819222 129092296 138456504 145228833 193638444 258184592 276913008 290457666 371140351 387276888 580915332 742280702 774553776 1113421053 1161830664 1484561404 2226842106 2323661328 2969122808 3340263159 4453684212 5938245616 6680526318 8907368424 13361052636 17814736848 26722105272 53444210544