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112485110544 = 243219214712
BaseRepresentation
bin110100011000010100…
…0101001001100010000
3101202100021120200011100
41220300220221030100
53320332142014134
6123401442144400
711061325443462
oct1506050511420
9352307520140
10112485110544
1143782a04484
1219973052100
13a7b8315111
14563127a132
152dd5381999
hex1a30a29310

112485110544 has 135 divisors (see below), whose sum is σ = 332468653959. Its totient is φ = 35497465920.

The previous prime is 112485110533. The next prime is 112485110567. The reversal of 112485110544 is 445011584211.

The square root of 112485110544 is 335388.

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

112485110544 is a `hidden beast` number, since 1 + 1 + 24 + 85 + 1 + 10 + 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 = 112485110499 and 112485110508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76467729 + ... + 76469199.

Almost surely, 2112485110544 is an apocalyptic number.

112485110544 is the 335388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112485110544

112485110544 is an abundant number, since it is smaller than the sum of its proper divisors (219983543415).

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

112485110544 is an equidigital number, since it uses as much as digits as its factorization.

112485110544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Multiplying 112485110544 by its sum of digits (36), we get a square (4049463979584 = 20123282).

112485110544 divided by its sum of digits (36) gives a square (3124586404 = 558982).

Adding to 112485110544 its reverse (445011584211), we get a palindrome (557496694755).

The spelling of 112485110544 in words is "one hundred twelve billion, four hundred eighty-five million, one hundred ten thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 1471 2166 2736 2888 2942 3249 4332 4413 5776 5884 6498 8664 8826 11768 12996 13239 17328 17652 23536 25992 26478 27949 35304 51984 52956 55898 70608 83847 105912 111796 167694 211824 223592 251541 335388 447184 503082 531031 670776 1006164 1062062 1341552 1593093 2012328 2124124 2163841 3186186 4024656 4248248 4327682 4779279 6372372 6491523 8496496 8655364 9558558 12744744 12983046 17310728 19117116 19474569 25489488 25966092 34621456 38234232 38949138 41112979 51932184 76468464 77898276 82225958 103864368 123338937 155796552 164451916 246677874 311593104 328903832 370016811 493355748 657807664 740033622 781146601 986711496 1480067244 1562293202 1973422992 2343439803 2960134488 3124586404 4686879606 5920268976 6249172808 7030319409 9373759212 12498345616 14060638818 18747518424 28121277636 37495036848 56242555272 112485110544